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

Answer 2

Answer:

The constant term represent the area of the weight room

Step-by-step 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