Final answer:
The student needs to use the given equivalences between A's, B's, and C's to convert 7.5 A's into the corresponding number of C's through a two-step conversion process involving division and multiplication.
Step-by-step explanation:
To solve the problem, we first need to find the relationship between A's, B's, and C's using the given equivalences. We know that 8.9 A's equal 3.3 B's, so one A is equivalent to 3.3 B's ÷ 8.9 A's, which simplifies to 0.3708 B's. Then, 2.5 B's are equal to 1.9 C's, meaning one B is equivalent to 1.9 C's ÷ 2.5 B's or 0.76 C's. To find the equivalent number of C's for 7.5 A's, we multiply 7.5 by our conversion factor of 0.3708 to get the equivalent B's, and then multiply that result by 0.76 to convert B's to C's. The calculation would look as follows: 7.5 A's × 0.3708 = B's, and then B's × 0.76 = C's.