Question

In professional football, the quarterback rating is a crucial statistic comprised of four major factors. One factor is the completion rating, given by the formula R = 51(C/A - 0.3), where C is the number of completed passes and A is the number of attempted passes. Solve the formula for C.

a) C = (R + 0.3A)/51
b) C = (R - 0.3A)/51
c) C = R/51 + 0.3A
d) C = R/51 - 0.3A

Answer 1

To solve the given formula R = 51(C/A - 0.3) for C, you need to isolate C on one side of the equation by following the steps provided. The correct answer is option a) C = (R + 0.3A)/51.

Step-by-step explanation:

To solve the formula R = 51(C/A - 0.3) for C, we need to isolate C on one side of the equation. Here's the step-by-step process:

1. First, distribute the 51 to the terms inside the parentheses: R = 51C/A - 15.3
2. Next, bring the -15.3 term to the other side of the equation by adding it to both sides: R + 15.3 = 51C/A
3. To isolate C, multiply both sides of the equation by A: A(R + 15.3) = 51C
4. Finally, divide both sides by 51 to solve for C: C = (R + 15.3)/51

Therefore, the correct answer is option a) C = (R + 0.3A)/51.