To rent a carpet cleaner at the hardware store, there is a set fee and an hourly rate. The rental cost, c, can be determined using this equation

when the carpet cleaner is rented for h hours

c = 25 + 3h

Which of these is the hourly rate?

A.3

B.3h

C.25

D.25h

Respuesta :

3h

The set cost is 25, because c=25 when h=0. So, this leaves 3h as the hourly rate.

The hourly rate of the carpet cleaning is specified correctly by: Option A: 3

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

c = rental cost of a carpet cleaner

h = number of hours the carpet cleaner is rented.

c = 25 + 3h can be written as:

c = 25 + (3+3+3+...+3) (h times)

That shows that 3 is added h times, which is the number of hours, so for each 1 of h hours, there is one 3 added in the final rental cost. (assuming nothing complex is going to happen)

That shows that the hourly rate is 3.

Thus, the hourly rate of the carpet cleaning is specified correctly by: Option A: 3

Learn more about forming equations here:

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