Respuesta :
Answer:
The Constant of proportionality is 4.
The equation representing the situation is [tex]C=4p[/tex].
The dry cleaner would charge $32 for 8 pairs of pants.
Step-by-step 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 = [tex]\frac{20}{5}=\$4[/tex]
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;
[tex]C=4p[/tex]
Hence the Constant of proportionality is 4.
The equation representing the situation is [tex]C=4p[/tex].
Now we will find the cost of Dry cleaning 8 pairs of pants.
We will substitute p as 8 in above equation we get;
[tex]C=4p\\\\C= 4\times8 =\$32[/tex]
Hence The dry cleaner would charge $32 for 8 pairs of pants.
