Question

A rectangle gym has an area of 3x^2ft2. The school decides to add a new weight room. The total area of the gym and the weight room is (3x^2+500) ft^2. What does the constant term represent in terms of this problem?

Answer 1

The constant term represent the area of the weight room

Explanation:

Let

m------> the area of rectangle gym

n-----> the area of the weight room

we know that

`m=3x^(2)\ ft^(2)`

`m+n=(3x^(2)+500)\ ft^(2)` -------> equation A

Substitute the value of m in the equation A

`3x^(2)+n=(3x^(2)+500)`

solve for n

`n=500\ ft^(2)`

therefore

The constant term represent the area of the weight room

Answer 2

The weight room adds 500 square feet to the gym size. So the size of the weight room is 500 square feet.