SOLUTION: jerry needs to raise his batting average. so far he has 20 hits in 100 times at bat for a .20 batting average. how many consecutive hits does jerry need in order to raise his avera
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-> SOLUTION: jerry needs to raise his batting average. so far he has 20 hits in 100 times at bat for a .20 batting average. how many consecutive hits does jerry need in order to raise his avera
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Question 242285: jerry needs to raise his batting average. so far he has 20 hits in 100 times at bat for a .20 batting average. how many consecutive hits does jerry need in order to raise his average to at least .25? Answer by solver91311(24713) (Show Source):
Let represent the number of consecutive hits he needs.
Every time he gets a hit from now on, his number of hits increases by 1 and his number of at bats also increases by 1. After consecutive hits he will have hits and at bats. His batting average will be:
Since he wants an average of at least .250, the expression above must be greater than or equal to .250.
Solve the inequality. If the lower bound of the interval is not an integer, round up -- he can't get a fractional part of a hit, and if you round down it won't be enough.
