Question 16

Gabriel is grading essays. He has 105 essays to grade and it takes him 4 minutes to grade each essay. The number of minutes that Gabriel spends grading each essay is a function of the amount of essays graded.

Select two statements that correctly describe the domain or range of this function.

A

The range is the set of all integers from 0 to 105.

B

The range is the set of all multiples of 4 from 0 to 420.

C

The domain is the set of all multiples of 4 from 0 to 420.

D

The domain is the set of all integers from 0 to 105.

Statement B and D are correct.

Step-by-step explanation:

The number of minutes Gabriel spends grading essays can be presented as a function: f (x) = 4x, where x is the number of graded essays and 4 is the number of minutes Gabriel spends on grading each essay.

By definition, domain of a function f (x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

So in this case, domain of f (x) is the set of all values of x which is an integer going from 0 to 105. Statement D is accurate.

Range of f (x) is the set of all values that f takes and can be calculated by multiplying 4 with (0,105), equal (0,420). Statement B is accurate.