Question

on a physical science exam, students earn 3 points for a correct response, 1 point for a partially correct response, and 0 points for an incorrect response. suppose a student had 8 partially correct responses and 4 incorrect responses and received a total of 77 points on the exam. write an equation that can be used to solve for the number of correct responses the student had. use c to represent correct responses.
77 = 3c + 4
77 = c + 4
77 = c + 8
77 = 3c + 8

Explanation:

Step1: Calculate points from partially - correct

Each partially - correct response is 1 point and there are 8 partially - correct responses, so points from partially - correct are $1\times8 = 8$.

Step2: Calculate points from correct

Each correct response is 3 points and the number of correct responses is $c$, so points from correct are $3c$.

Step3: Calculate total points

The total points are the sum of points from correct and partially - correct responses. Incorrect responses give 0 points and are not included in the sum. So the equation for total points 77 is $77=3c + 8$.

Answer:

D. $77 = 3c+8$