Eric is a lifeguard at his community pool. Before working, he likes to swim laps to exercise. Eric started by swimming 12 laps and increases the number of laps he swims by 3 laps each week. - Identify the slope modeled by the linear relationship. Explain what the slope means in context of the problem. - Identify the y-intercept modeled by the linear relationship. Explain what the y-intercept means in context of the problem.

Answers

Answer 1

Answer:

Step-by-step explanation:

Eric started by swimming laps = 12

And increases number of laps each week = 3 laps

If Eric spends x week for the swimming, linear equation representing the number of laps 'y' after 'x' weeks will be,

y = 12 + 3x

Slope of the equation when graphed = 3

y - intercept of the equation = 12

Therefore, Slope of the equation represents the increase in laps per week.

And y-intercept represents the number of laps at the starting.


Related Questions

Use the table to help determine the answer to the question below. If one cake needs 413 cup(s) of flour, how much flour will 3 cakes need?

Answers

I think the answer is 1,239

Drag and drop the angle pairs to correctly match their description.

Answers

Answer:

<XAW and <UAY are vertical angles

<XAW and <XAZ are complementary angles

I need help fast solve; question: using the distributive property: 4(x+9)

Answers

Answer:

x = 9

Step-by-step explanation:

4 x X + 4 x 9 =

4x + 36

36/4 = 9

A rectangular tank has a length of 12 feet, width of 8 feet, and height of 5 feet. Frankie filled the tank with water at a rate of 4 cubic feet per minute. At this rate, how long will it take Frankie to completely fill the tank without overflowing it?

Answers

Answer:

Step-by-step explanation:

12 x 8 x 5 = 480/4= 120 minutes or 2 hours  

Bob played a trivia game in which he lost 3 points for each incorrect answer and gained 8 points for each correct answer. If Bob answered 11 questions correctly and 4 questions incorrectly, what was his total score?

Answers

Answer:

76

Because 11*8=88 and 4*3=12

88-12=76

-5 -2q = 9


please help me

Answers

Answer:

q = -7

Step-by-step explanation:

-5 - 2q = 9

Add 5 to both sides of the equation.

-2q = 14

Divide both sides by -2.

q = -7

In solving for y in the equation, what is the first step? -6x+3y=12

Answers

Answer:

Step-by-step explanation:

-6x+3y=12

You have to separate y from the other terms.

So add (-6x) to both sides and you'll get:

3y=6x+12

What is the slope of a line perpendicular to the line whose equation is
12x – 2y = 24. Fully reduce your answer.

Answers

Answer:

-1/6

Explanation:

The slope of the line is: 6
And if two lines are perpendicular to each other, the product of their slopes is: -1

Step-by-step explanation:

The angle between the slope of the line parallel to the line whose equation is

[tex]12x-2y=24[/tex] is [tex]-1/6[/tex]

The slope intercept form is represented as follows;

[tex]y = mx + b[/tex]

where

m = slope

b = y-intercept

For a line perpendicular to another line the product of there slope is negative 1. Therefore,

m₁m₂ = -1

m₁ 1/6 = -1

m₁ = - 1/ 5

The line's angle of slope is 6

Additionally, the slope product of two lines that are perpendicular to one another is -1.

To learn more on linear equation refer to:

brainly.com/question/21010397?referrer=searchResults

#SPJ2

ExplainHow to find the product 3/8 x 7/9

Answers

Answer:

7/8

Step-by-step explanation:

well first when you put them together like 3/8 and 7/9 you have to simplfy first. You have to cross simplify 3 and 3. Since they are the saem both turn into one. Now you mulitpy. 7 times 1 is 7 and 8 times one is 8. 7/8

Answer:

[tex]\frac{7}{24}[/tex]

Step-by-step explanation:

To factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).

The number of times that each prime divides the original integer becomes its exponent in the final result.   In our example,  Prime number [tex]2^3=8[/tex]

[tex]\frac{3*7}{2^3*3^2}[/tex]

We need to perform a multiplication. The following rule is applied:

[tex]\frac{A}{B}*\frac{C}{D}=\frac{AC}{BD}[/tex]

In our example, the factors in the new numerator are 3,7

The factors in the new denominator are [tex]2^3, 3^2[/tex]

lindsey and Oscar have been selling popcorn for a class fundraiser. Oscar sold three times as many bags of popcorn as Lindsey. together they have sold a total of 92 bags of popcorn. how many bags did Oscar sell?

Answers

Answer:

Oscar= 69

Step-by-step explanation:

92/4 = 23

23 times 3=69

I figured iut the greatest power which is 5, and the difference for the function which is 10. but my questions are.
12.) what is the "a" value for the function in the chart?
13.) what is the equation for the function above?​
please explain work

Answers

Answer:

12) a = 5

Step-by-step explanation:

a is found by dividing the second difference by 2.

10 = 2a

5   = a

It takes Brian 15 hours longer to build a model car than it takes John. If they work together, they can build the model car in 4 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Brian to build the car on his own. (10 points)

Answers

Answer:

1/x + 1/( x+15 ) = 1/4  / · x ( x+15 )

   x+15 + x = x ( x+15 ) /4      / · 4

   8 x + 60 = x² + 15 x

   x² + 15 x - 8 x - 60 = 0

   x² + 7 x - 60 = 0

   x² + 12 x - 5 x - 60 = 0

   x · ( x + 12 ) - 5 ·( x+ 12 ) = 0

   ( x + 12 ) · ( x - 5 ) =0

   x = - 12  ( not accepted ) or  x = 5

   The time taken by Brian:  5 + 15 = 20 hours

Step-by-step explanation:

i need help plz help me

Answers

Answer:

3000g

hope this helps

Which number line best shows the position of 13?

Answers

The 3rd number line because the square root of 13 is 3.6!

-f+2+4f=8-3f what is the answer

Answers

Answer:

Answe 6 yeah i know 6

because you due

Answer:

1

Step-by-step explanation:

move like terms to each side

-f+4f+3f=8-2

simplify

6f=6

divide by 6 each side

f=1

What Is The Slope Of the Line

Answers

Answer:

2/2.5 or 3/4 I pretty sure that's right

Please do help!! ;^;​

Answers

Answer:

10/7 is an improper fraction because the numerator is greater than the denominator.

Step-by-step explanation:

so try 10/7 as a whole number

u = 5

10 + 7u = 45

9u = 45

Compare 3+ (-4) to (-4) + 3. What happens to the sum when the addends are reversed?

Answers

Answer: = 16ot + 6

Step-by-step explanation: coz I juss know

What is 125 x 64 in expanded form

Answers

I think I believe it’s 8000

2 + 6x equals 1 - x​

Answers

Answer:

x = -1/7

Step-by-step explanation:

simplify by bringing all the x to the left and all the constants to the right:

6x + x = 1 - 2

7x = -1  (divide by 7)

x = -1/7

x=1/5

Step-by-step explanation:

2+6x= 1-x

=> Transfer the same algebraic terms in one side

2-1 = -x+6x

{things get negavtive sign when they are transfered to another side}

1=5x

x=1/5

plzzz help

-7/9 times 9/8 in fraction form

Answers

Answer:

7/8 (simplified)

Step-by-step explanation:

Answer:

-7/8

Step-by-step explanation:

-7/9*9/8

Simplify

-7/1*1/8=

-7/8

Can you pls answer the question below

Answers

Answer:

The student added instead of subtracting 6 from both sides first before dividing.

To be simple and short it’s x=4 and student added 6 instead of subtracting it

A. 43 x + 98 = 11
B. 43x + 11 = 98
C. 11x+ 98 = 43
D. 11x+ 43 = 98

Answers

The answer is D. 11x+43=98

PLEASE HELP, GIVING BRAINLIEST!!!

These triangles are congruent by _____.

A. ASA
B. AAS
C. SSS
D. Not enough information
E. None of these

Answers

Answer:

A. ASA

Step-by-step explanation:

There are two angles and sides marked as congruent\

The angles in the middle are congruent by the Vertical Angles Theorem

They have congruent side with congruent angles adjacent so it's Angle Side Angle

put these fractions to least to greatest 8/9 6/9 5/9 7/9 please help

Answers

8/9, 7/9 6/9 5/9 is it from least to greatest form

Alexi’s restaurant bill is $58, and he wants to leave a 20 percent tip. Which expression represents the total amount that Alexi needs to pay?

A 58 dollars (0.20) + 58 dollars
B 58 dollars (0.20)
C 58 dollars (20) + 58 dollars
D 58 dollars (20)

Answers

Answer:

The correct answer is A

Step-by-step explanation:

You multiply the original price = $58 to the tip which will be 20% after you add the tip to the original price.

I hope this helped

Answer:

It is A I have done the assignment got 100 good luck and have a fantastic day :D

Step-by-step explanation:

Jonas has salary of $2,000 each month. He pays income tax at a rate of 15%. How much income tax Jonas pay each month in dollars and cents?

Answers

2000•.15=300
jonas pays 300$ each month

In the cafeteria, 104 milk cartons were put out for breakfast. At the end of breakfast, 17 remained. A. What is the ratio of the number of milk cartons taken to the total number of milk cartons? B. What is the ratio of the number of milk cartons remaining to the number of milk cartons taken?

Answers

Answer:

(A) 87/104

(B) 17/87

Step-by-step explanation:

The first step is to calculate the number of milk carton that was taken

= 104-17

= 87

(A) The ratio of the number of milk carton taken to the total number of milk carton can be calculated as follows

= 87/104

(B) The ratio of the number of milk cartons remaining to the number of milk cartons taken can be calculated as follows

= 17/87

equivalent fraction using the lcd 7/10 and 5/6 NEED ANSWE LIKE NOW PLZZZ HELP WILL MARK BRAINLIEST

Answers

Answer:

2 i think. :D

Step-by-step explanation:

What percent of 185 is 70?
(please show work)

Answers

Answer:

37.84

Step-by-step explanation:

Step 1: We make the assumption that 185 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100%=185.

Step 4: In the same vein, x%=70.

Step 5: This gives us a pair of simple equations:

100%=185(1).

x%=70(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left-hand side) of both equations have the same unit (%); we have

100% / x% = 185 / 70

Step 7: Taking the inverse (or reciprocal) of both sides yields

x% / 100% = 70/185

---> = 37.84%

Therefore, 70 is 37.84% of 185.

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