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valentina_108 [34]
3 years ago
5

The price of tiling a room varies directly as the size of the room. Sam is laying tile in his kitchen. If the tiling costs $4,22

4.00 for 264 square feet, what is the size of a kitchen that costs $3,824.00? A. 239 square feet B. 256 square feet C. 7,648 square feet D. 63,096 square feet
Mathematics
1 answer:
stiv31 [10]3 years ago
6 0

Answer:

<h3>The answer is option A</h3>

Step-by-step explanation:

Let the price of the room be p

Let the size of the room be s

To find the size of a kitchen that costs $3,824.00 we must first find the relationship between them

The statement

The price of tiling a room varies directly as the size of the room is written as

<h3>p = ks</h3>

where k is the constant of proportionality

when

p = $4,224.00

s = 264 square feet

Substitute the values into the expression to find k

That's

4224 = 264k

Divide both sides by 264

k = 16

So the formula for the variation is

<h3>p = 16s</h3>

when

p = 3824

s =  \frac{p}{16}

s =  \frac{3824}{16}

s = 239

The final answer is

239 square feet

Hope this helps you

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