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17 December, 02:41

Car Wash A theater group is having a carwash fundraiser. The liquid soap costs $34 and is enough to wash 40 cars. Each car is charged $5.

a. If c is the total number of cars washed and p is the profit, which is the independent variable and which is the dependent variable?

b. Is the relationship between c and p a function? Explain.

c. Write an equation that shows this relationship.

d. Find a reasonable domain and range for the situation.

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  1. 17 December, 06:00
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    a. If c is the total number of cars washed and p is the profit

    The profit depends on the total number of cars washed.

    So profit P is the dependent variable and C is the independent variable

    (b) yes, the relationship between c and p a function

    Because for each input for c, there will be an unique output for P

    (c) C is the number of cars

    Each car charged is $5

    So C cars charged is 5C

    The liquid soap costs $34 and is enough to wash 40 cars. So we subtract 34

    Hence Profit P = 5c - 34

    The equation is P = 5c - 34

    (d) The liquid soap costs $34 and is enough to wash 40 cars

    So number of cars is 0 to 40

    0<=c <=40

    soap costs $34

    so profit is above 34

    When cars = 40 then profit is 5 (40) - 34 = 166

    So profit lies between 34 and 166

    34< = P< = 166
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