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.

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

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.