Question

The cost per year to lease a coffee shop in downtown Austin varies directly with the size of the shop if a 1,425 square foot shop costs 45,600 to lease for the year, how expensive is it to lease a shop that is 1,820 square feet? lease price??​

Answer 1

58240

Explanation:

Given

Represent cost with c and size with s.

So, we have:

`s = 1425` when
`c =45600`

Required

Find c when s = 1820

For direct variation, we have:

`c\ \alpha\ s`

Write as equation:

`c = ks`

`c = 1425` when
`s =45600`, we have:

`45600= k * 1425`

`k = (45600)/(1425)`

`k = 32`

So, the equation is:

`c=32s`

When s = 1820

`c = 32 * 1820`

`c = 58240`