Question

Emelio discovered that the amount of time spent studying seems to vary directly with his grade. When he studied for 15 minutes, he scored a 60%. What will he score if he studies for 20 minutes? Enter only the number.

Answer 1

To find Emelio's score when he studies for 20 minutes, set up a proportion and solve for the unknown grade. Emelio will score 80% if he studies for 20 minutes.

Step-by-step explanation:

To solve this problem, you can use the concept of direct variation. In this scenario, the amount of time spent studying is directly proportional to the grade obtained. This means that as the time spent studying increases, the grade also increases.

Given that Emelio scored a 60% when he studied for 15 minutes, we can set up a proportion to find his score when he studies for 20 minutes:

15 minutes / 60% = 20 minutes / x

Cross multiplying, we have:

15x = 60(20)

Simplifying, we get:

15x = 1200

Dividing both sides by 15, we find that:

x = 80

Therefore, if Emelio studies for 20 minutes, he will score 80%.