Suppose you play third base for your high school softball team. In the last four games, you have a total of 6 hits in 15 at-bats. Assuming you will have 4 at-bats in tomorrow's game, how many hits will you need in order to have a batting average greater than .450?

9 divided by 19 = .473684 Therefore you will need 3 hits in the next game or 3/4 to achieve a .450 batting average or greater.

Answered by Wings | 2024-06-10

Currently, the student's batting average is calculated by the number of hits divided by the number of at-bats, which is 6 hits in 15 at-bats, giving a current average of 0.400 (6÷15 = 0.400). To have a batting average greater than .450 after tomorrow's game, with an additional 4 at-bats, the total number of at-bats would be 19 (15 + 4).
Let's represent the number of additional hits needed as 'x'. To find 'x', we solve the inequality (6+x)÷19 > .450. Multiplying both sides of the inequality by 19 gives us 6+x > 19×.450, which simplifies to 6+x > 8.55. Subtracting 6 from both sides gives us x > 2.55.
Since the student cannot have a fraction of a hit, they will need at least 3 more hits to have a batting average greater than .450.

Answered by DonalSutherland | 2024-06-24

You will need at least 3 hits in your next game to achieve a batting average greater than .450. Currently, you have 6 hits in 15 at-bats, and with 4 more at-bats, you will total 19 at-bats. Therefore, hitting at least 3 times is necessary to improve your average above .450.
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Answered by DonalSutherland | 2024-12-24