A
B
C
D
Explanation
Correct answer: C.
Choice C is correct. The mean of the four scores (, , , and ) can be expressed as . The inequality that expresses the condition that the mean score is at least can therefore be written as .
Desmos solution:
Note: m(G) is Tom's four-exam mean, so “at least 90” means m(G) ≥ 90.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. The sum of the scores (, , , and ) isn't divided by to express the mean.
Choice B
Choice B is incorrect and may be the result of an algebraic error when multiplying both sides of the inequality by .
Choice D
Choice D is incorrect because it doesn't include in the mean with the other three scores.