Question

The dry cleaning fee for 5 pairs of pants is $20. What is the constant of proportionality? Write an equation to represent the situation. How much will the dry cleaner charge for 8 pairs of pants? Having trouble understanding :,)

Answer 1

The Constant of proportionality is 4.

The equation representing the situation is
`C=4p`.

The dry cleaner would charge $32 for 8 pairs of pants.

Explanation:

Given:

5 pairs of Jeans = $20

We need to find the constant of proportionality.

Also we need Write an equation to represent the situation.

Also we need to find the dry cleaner charge for 8 pairs of pants

Solution:

Now we will firs find the cost for Dry cleaning 1 pair of jeans.

5 pairs of Jeans = $20

1 pair of jeans = Cost of dry cleaning 1 pair of jeans.

Using Unitary method we get;

Cost of dry cleaning 1 pair of jeans =
`(20)/(5)=\$4`

Now let the Number of pair of jeans be denoted by 'p'.

Let the cost of dry cleaning be denoted by 'C'.

So we can say that;

`C=4p`

Hence the Constant of proportionality is 4.

The equation representing the situation is
`C=4p`.

Now we will find the cost of Dry cleaning 8 pairs of pants.

We will substitute p as 8 in above equation we get;

`C=4p\\\\C= 4*8 =\$32`

Hence The dry cleaner would charge $32 for 8 pairs of pants.