Question

Please help me with this math problem and clearly explain each step

Answer 1

The relationship between the "pairs of jeans" (x) and the "total cost" (y) are proportional, you can express this relationship as follows:

`y=kx`

Where "k" is the constant of proportionality, to calculate the value of said constant, you have to divide y by x:

`k=(y)/(x)`

For each store, you have to select one ordered pair, any will do since the constant of proportionality is a constant value.

Jenny's Jean Store:

In the graph, the "pairs of jeans" are on the x-axis, and "the total cost" is on the y-axis.

Choose one ordered pair from the graph, for example, (2,40), and calculate the constant of proportionality.

`k=\frac{\cos t}{\text{pairs}}=(\$40)/(2)=\$20`

The cost per pair is $20.

Jean Warehouse:

Select any ordered pair from the graph and calculate the constant of proportionality.

For example, you can use (3,54)

`k=\frac{\cos t}{\text{pairs}}=(\$54)/(3)=\$18`

The cost per pair is $18

So, Jenny's Jean Store charges a higher rate.