Question

Betsy is shopping for a new rug, and she finds a square rug that she wants to purchase for her living room. Before purchasing the rug, she needs to know the side measure. She knows that the area of the rug is A square feet.

Which of the following functions would best model the situation above?
A.) square root
B.) exponential
C.) absolute value
D.) cube root

Answer 1

The answer is A: square root.

If she knows the area is x feet squared, then you have to find the square root of the number, to find the side length. Hope that helps!

Answer 2

A. square root is the right answer.

Explanation:

Now we know that, Betsy finds a square rug that she wants to purchase for her living room and she needs to know the side measure.

Area of the rug is A square feet.

To model this situation, square root function is the best.

We know that area of square having side 's' =
`s* s=s^(2)`

A =
`s^(2)`

So,
`s=√(A)`

Lets take an example.

Let the area of the rug be 25 square feet.

So, side will be :
`side * side = 25`

`side =√(25)`

side = 5 feet

Hence, the answer is square root function.