"The school band decided to raise money by holding a car wash. The band spent $32 to buy the needed supplies. They will charge $5 for each car they wash.
Part A: Create a table showing the profit (total money minus expenses) that the band will make for washing 1 through 10 cars. [Table shown]
Part B: What will be the band's profit for washing 40 cars?
Part C: What is the minimum number of cars the band needs to wash to start making a profit?
Part D: Write the linear equation that would represent the profit earned by washing C number of cars."

Answer:

Scroll Down Below...

Step-by-step explanation:

Part A: Table show the profit for washing 1 through 10 machines:| Number of Cars (C) | Total Money Earned | Expenses | Profit 1    

| 1 | $5 | $32 | -$27 |

| 2 | $10 | $32 | -$22 |

| 3 | $15 | $32 | -$17 |

| 4 | $20 | $32 | -$12 |

| 5 | $25 | $32 | -$7 |

| 6 | $30 | $32 | -$2 |

| 7 | $35 | $32 | $3 |

| 8 | $40 | $32 | $8 |

| 9 | $45 | $32 | $13 |

| 10 | $50 | $32 | $18 |

|Part B: To find the band's profit for washing 40 convertibles, we can use the undeviating equating:Profit = (Total Money Earned) - ExpensesThe total services gained for washing 40 automobiles is:Total Money Earned = $5 x 40 = $200Substituting the principles into the equating:Profit = $200 - $32 = $168Therefore, the band's profit for washing 40 rides is $168.Part C: The minimum number of buses the band needs to wash to start making a profit maybe contingent upon judgment the point place the profit enhances beneficial. From the table, we can visualize that the band starts making a profit when they wash 7 machines. So the minimum number of buses the band needs to wash to start making a profit is 7.Part D: The uninterrupted equating that shows the profit gained by washing C number of jeeps maybe composed as:Profit = (Total Money Earned) - ExpensesThe total services won for washing C machines is:Total Money Earned = $5CSubstituting the principles into the equating:Profit = $5C - $32Therefore, the undeviating equating illustrating the profit won by washing C number of rides is:Profit = $5C - $32

Answer:

  A: see attached

  B: $168

  C: 7

  D: profit = 5C -32

Step-by-step explanation:

You want the profit earned by a school band after spending $32 for supplies when they charge $5 for each car washed.

The attachment shows a table of earnings and profit for 1–10 cars and for 40 cars (Part B).

The last line of the attached table shows the profit for washing 40 cars is $168.

The profit for washing 40 cars is $168 because it is the amount resulting from subtracting the expenses of $32 from the revenue of $5 × 40 = $200.

The highlighted line in the table shows the first positive profit is made by washing 7 cars.

The minimum number of cars the band needs to wash to start making a profit is 7.

The equation for the profit will reflect that profit is the difference between the revenue and the expenses:

  profit = 5C -32

__

Additional comment

A spreadsheet is handy for making the table. The (money earned) column is 5 times the (# of cars) column, reflecting the $5 per car charge. The expense is then subtracted to give the value in the profit column. The last line shows it is easy to find the profit associated with any particular number of cars being washed. Effectively, the equation for profit is embedded in the table formulas.

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