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

Answer:

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

      $A = \frac{n + k}{ j}$

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  

        $\frac{25 + k}{ 75} \ge 0.40$

=>     $k \ge 5 \ hits$

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

     $T \ge k + n$

=>   $T \ge 5 + 30$

=>   $T \ge 30 \ hits$