Question

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

Answer 1

The correct answer is A

Answer 2

Answer: B. 239 Square Feet

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 :
`(x_1)/(x_2)=(y_1)/(y_2)`

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
`x_1= 4224 \ \ ; \ y_1=264\ ; \x_2=3824\ ; \ y_2=y` , we get

`(4224)/(3824)=(264)/(y)\\\\\Rightarrow\ y=(264*3824)/(4224)=239`

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

The correct answer is B. 239 Square Feet