Tom promised that for every 4 hours that he played video games, he would solve 16 math problems. Going by his promise, which of the following statements is correct? A.
He would solve 32 math problems if he played video games for 9 hours.
B.
He would solve 30 math problems if he played video games for 8 hours.
C.
He would solve 32 math problems if he played video games for 8 hours.
D.
He would solve 48 math problems if he played video games for 9 hours.

C. He would solve 32 math problems if he played video games for 8 hours.

Step-by-step explanation:

Create the following proportion to find the number of math problems for 8 hours:

4/16 = 8/x

Cross multiply.

4 x x = 4x

16 x 8 = 128

4x = 128

x = 32

If Tom plays video games for 8 hours, he'll solve 32 math problems.

Create the following proportion to find the number of math problems in 9 hours:

4/16 = 9/x

Cross multiply.

4 x x = 4x

16 x 9 = 144

4x = 144

x = 36

If Tom plays video games for 9 hours, he'll solve 36 math problems.