Question

Deblina takes a 30 question test and answers x questions correctly. The grade G that she earns is given by G(x) = 10 + 30x.

The most reasonable domain of G(x) is:

A. G(x) = x

B. G(x) = x is a real number, 0 ≤ x ≤ 30

C. G(x) = x

D. G(x) = x

Answer 1

The most reasonable domain for Deblina's test grade function G(x) is the set of whole numbers from 0 to 30, hence Option A is correct.

Step-by-step explanation:

The question asks to determine the most reasonable domain for the function G(x) = 10 + 30x, which represents the grade Deblina earns based on the number of questions she answers correctly on a 30-question test. Since the number of questions answered correctly on a test must be a whole number and cannot be negative or greater than the number of questions on the test, the best option for the domain of G(x) is the set of whole numbers from 0 to 30. This reflects that Deblina can answer anywhere from 0 questions correctly (none) to all 30 questions correctly. Therefore, the most reasonable domain of G(x) is Option A: G(x) = x .