Question

What is the domain and range of the function y= 25.5x+7.25 where x is the number of uniforms bought for a little league basketball team with at least five but no more than 10 players?

a. Domain: All real numbers; Range: All real numbers
b. Domain: At least 5, no more than 10; Range: Real numbers
c. Domain: Real numbers; Range: At least 5, no more than 10
d. Domain and Range: At least 5, no more than 10

Answer 1

The domain of the basketball team uniform function is the set of real numbers from 5 to 10, and the range is the set of real numbers from 134.75 to 262.25, inclusive.

Step-by-step explanation:

The function in question is y = 25.5x + 7.25 where x represents the number of uniforms bought for a basketball team and is limited between 5 (at least five players) and 10 (no more than ten players). Therefore, the domain of this function is the set of real numbers from 5 to 10, inclusive. To find the range, we evaluate the function at the endpoints of the domain: y(5) = 25.5(5) + 7.25 and y(10) = 25.5(10) + 7.25.

Calculating these yields y(5) = 134.75 and y(10) = 262.25, which means the range is the set of real numbers from 134.75 to 262.25, inclusive.

Thus, the correct answer for the domain and range of the given function is:

• Domain: At least 5, no more than 10
• Range: The set of real numbers from 134.75 to 262.25