Final answer:
The student needs to score 64 points on an 80-point test to achieve an 80% test score, which is found using the proportion x/80 = 80/100 and then solving for x.
Step-by-step explanation:
To find how many points x a student needs to score on a test worth 80 points to get a test score of 80%, you need to set up a proportion that compares the student's score to the total possible points. The correct proportion is x/80 = 80/100.
This proportion says that the score x out of 80 points is equivalent to 80 out of 100, or 80%. To solve for x, multiply both sides of the equation by 80:
80 * (x/80) = 80 * (80/100)
When you simplify both sides, you get x = 64. Thus, the student needs to score 64 points on the test to get an 80% score.