Question

Over the course of one game, Marcus' team altogether hit 24 out of 170 at-bats. Of these hits, 5 out of every 12 hits was a home run. At the same rate, if the Lions are at bat 340 times in the next game, predict how many home runs they will score. Show your work.

Answer 1

To predict the number of home runs the Lions will score in the next game, multiply the number of at-bats by the rate of hits to at-bats and then multiply the result by the rate of home runs to hits.

Step-by-step explanation:

To predict how many home runs the Lions will score in the next game, we can use the same rate of home runs to hits as the previous game. In the previous game, there were 24 hits out of 170 at-bats. So the rate of hits to at-bats was 24/170. And out of these hits, 5 out of every 12 were home runs, so the rate of home runs to hits was 5/12.

To find the predicted number of home runs in the next game, we can multiply the number of at-bats in the next game (340) by the rate of hits to at-bats and then multiply the result by the rate of home runs to hits.

Predicted number of home runs = (340 * (24/170)) * (5/12) = 14.2353 (rounded to 4 decimal places)