Question

Kyle plays softball. His goal is to have a batting average of .400 or greater by the end of the season. The ratio that relates the number of hits to the number of chances, called at-bats, is used to determine batting average in baseball and softball.Batting averagenumber of hits number of at bats So far this season, Kyle has 25 hits. He has been at bat 65 times. He expects to have 10 more at-bats this season

Answer 1

Kyle's current batting average is 0.333.

Step-by-step explanation:

To find Kyle's batting average, we need to divide the number of hits (25) by the number of at-bats (65+10 = 75).

Dividing 25 by 75, we get a decimal value of approximately 0.333.

Therefore, Kyle's current batting average is 0.333.

Answer 2

The number of hits is
`T \ge 30 \ hits`

Step-by-step explanation:

From the question we are told that

The ratio of the number of hits to the number of chances is equivalent to the batting average

The number of chances is j = 65 + 10 = 75

The number of hit so far is n = 25

Generally the batting average can be represented mathematically as

`A = (n + k)/( j)`

Here k is the number of additional hits Kyle need to get in order to obtain the batting average of 0.40 or more

So

`(25 + k)/( 75) \ge 0.40`

=>
`k \ge 5 \ hits`

Hence the number of hits for Kyle to get a batting average of 0.400 or greater by the end of the season is

`T \ge k + n`

=>
`T \ge 5 + 30`

=>
`T \ge 30 \ hits`