Question

A square grass field is being paved to convert it to a shopping mall. Each side of the field is 75 meters long. The plan is to reduce the side lengths of the grass field by 5
meters each week. Which function can be used to calculate the area of the grass field, A after T weeks?


(A)=75−(5t)^2



(A)=(75−5t)^2



(A)=75^2 −5



(A)=75^2 -(5t)^2

Answer 1

Answer: second option.

Step-by-step explanation:

The formula for calculate the area of a square is:

$A=s^2$

Where "s" is the lenght of any side of the square.

You know that the square grass field is 75 meters long and they plan to reduce the side lengths of the grass field by 5 meters each week and the number of weeks is "t", then, the area after "t" weeks will be:

$A=[s_{original}-(s_{eliminated})(number\ of\ week)]^2$

Substituting you get that the function that can be used to calculate the area of the grass field, "A" after "t" weeks is:

$A=(75-5t)^2$

This matches with the second option.