Answer :
Final answer:
When plugging in c = 100 into the linear function f(c) = 0.9c + 79, we calculate the average test score to be 169, which is not one of the provided options. The closest answer provided is 170. option (b) is the closest to our calculated result.
Explanation:
To find the value of f(100), we plug c = 100 into the linear function f(c) = 0.9c + 79. Following this step:
f(100) = 0.9(100) + 79
f(100) = 90 + 79
f(100) = 169
So, the average test score with a c value of 100 is 169. However, the options provided in the question do not include 169. This suggests there may be an error in the question as it stands because none of the options (a) 89, (b) 170, (c) 179, (d) 189 match the calculated outcome. Technically, option (b) is the closest to our calculated result.
