Question

A set of weights includes a 10lb barbell and 4 pairs of weight plates. Each pair of plates weighs 30lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates can be represented by f(x)=30x+10What is the range of the function?A) {10, 40, 70, 100, 130B) {0, 1, 2, 3, 4}C) {0, 2, 4}D) {10, 70, 130}

Answer 1

The range of the function is all of the values (y) the function can take for every input (x).

In this case, we have that the function is f(x) = 30x + 10, for the explained reasons in the question.

x is pairs of plates added to the barbell.

Then, we have:

1. The function with the barbell with no pair of plates is:

f(0) = 30(0) + 10 = 10

2. With one pair of plates:

f(1) = 30(1) + 10 = 40

3. With two pairs of plates:

f(2) = 30(2) + 10 = 60 + 10 = 70.

Then, we have:

f(3) = 30(3) + 10 = 90 + 10 = 100.

f(4) = 30(4) + 10 = 120 + 10 = 130.

Therefore, the range of the function (the total weight of the barbell) is option A {10, 40, 70, 100, 130}.