Question

A baseball player's batting average is found by dividing the number of hits the player has by the number of at-bats the player has. Suppose a baseball player has 45 hits and 130 at-bats. Write and solve an equation to model the number of consecutive hits the player needs in order to raise his batting average to 0.400. Explain how you found your answer.

Answer 1

12 hits

Explanation:

Let x be the number of hits needed

1 hit equals an at-bat.

(45+x)hits / (130+x)at-bats = 0.4

(45+x) = 0.4(130+x)

45 + x = 52 + 0.4x

45 - 52 = 0.4x - x

-7 = -0.6x

x = -7/-0.6

x = 11.667

x = 12(approximately)

12 hits are necessary since there are no fraction of hits