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Select the correct answer.

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 4,224.00 for 264 square feet, what is the size of a kitchen that costs $3,824.00?

A. 7,648 Square Feet

B. 239 Square Feet

C. 63,096 Square Feet

D. 256 Square Feet

Respuesta :

The correct answer is A

JeanaShupp

Answer: B. 239 Square Feet

Step-by-step explanation:

Let y be the size of a kitchen that costs $3,824.00.

Given : The price of tiling a room varies directly as the size of the room.

Equation of direct variation between x and y : [tex]\dfrac{x_1}{x_2}=\dfrac{y_1}{y_2}[/tex]

If the tiling costs 4,224.00 for 264 square feet , to find the  size of a kitchen that costs $3,824.00.

We put [tex]x_1= 4224 \ \ ; \ y_1=264\ ; \x_2=3824\ ; \ y_2=y[/tex] , we get

[tex]\dfrac{4224}{3824}=\dfrac{264}{y}\\\\\Rightarrow\ y=\dfrac{264\times3824}{4224}=239[/tex]

Hence, the size of a kitchen that costs $3,824.00 is 239 Square Feet

The correct answer is B. 239 Square Feet

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