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Algebra 1: Linear equation word problem?
A baseball player's batting average is the number of hits the player has divided by the number of at-bats. At the beginning of a game, a player has a batting average of .360. During a game, the player gets 3 hits during 5 at-bats, and his batting average changes to .375.
a) Write a system of linear equations that represent the situation.
b) How many at-bats has the player had so far?
c) Another player on the team has a batting average of .240 at the beginning of the same game. During the game, he gets 3 hits during 5 at-bats, and his batting average changes to .300. Has this player had more at-bats so far this season than the other player.
If you could show your work that would be great
PS. This isn't for a grade but it is a study question and I want to know how to do this before the test.
1 Answer
- PZLv 41 decade agoFavorite Answer
h = hits n = number of at bats
a)
.360 = h/n
.375 = (h+3)/(n+5)
b) Cross multiply each equation to get
.360n=h
.375(n+5) = h+3
Substitute .360n in for h in second equation
.375(n+5) = .360n +3
Solve for n n = 75
c) do the same as in a and b for the second players averages and then compare.