To win a game show, a contestant needs to score at least 100 total po…

Question

Prompt

To win a game show, a contestant needs to score at least 100 total points from two rounds. Correct responses in the first round are worth 2 points each, and correct responses in the second round are worth 5 points each. Which inequality models this situation, where

f

is the number of correct responses in the first round and

s

is the number of correct responses in the second round?

f + s \leq 100

2 f + 5 s \geq 100

5 f + s \geq 100

5 f + 2 s \geq 100