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A softball player has had 8 base hits out of 25 at bats for a current batting average of 8/25 = .320. How many consecutive base hits does she need if she wants to raise her batting average to .400? Explain or show your reasoning.

A softball player has had 8 base hits out of 25 at bats for a current batting average of 825 320 How many consecutive base hits does she need if she wants to ra class=

Respuesta :

Using proportions, it is found that she needs 4 consecutive hits to raise her batting average to .400.

What is a proportion?

A proportion is a fraction of a total amount.

Hence, the batting average is given by the number of hits divided by the number of at-bats.

If she gets x consecutive hits, she will have 8 + x hits in 25 + x at-bats, for an average of 0.400, hence:

[tex]0.4 = \frac{8 + x}{25 + x}[/tex]

8 + x = 10 + 0.4x

0.6x = 2

x = 3.33

Rounding up, she needs 4 consecutive hits to raise her batting average to .400.

More can be learned about proportions at https://brainly.com/question/24372153

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