crystalbencomo
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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??​

Respuesta :

MrRoyal

Answer:

58240

Step-by-step explanation:

Given

Represent cost with c and size with s.

So, we have:

[tex]s = 1425[/tex] when [tex]c =45600[/tex]

Required

Find c when s = 1820

For direct variation, we have:

[tex]c\ \alpha\ s[/tex]

Write as equation:

[tex]c = ks[/tex]

[tex]c = 1425[/tex] when [tex]s =45600[/tex], we have:

[tex]45600= k * 1425[/tex]

[tex]k = \frac{45600}{1425}[/tex]

[tex]k = 32[/tex]

So, the equation is:

[tex]c=32s[/tex]

When s = 1820

[tex]c = 32 * 1820[/tex]

[tex]c = 58240[/tex]

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