Question

POSSIBLE POINTS: 1.67
Donald is on a school baseball team and has 12 base hits in 98 at bats so far this year. He wants to raise his average to .210. How many of the next
consecutive at bats need to be base hits to raise his batting average to .210? Write and solve an equation to describe this situation for the number of
consecutive base hits.

Answer 1

Using proportions, it is found that he needs to achieve 11 consecutive base hits.

The batting average is given by the number of base hits divided by the number of at-bats.

• Currently, he has 12 base hits in 98 at-bats.

Considering that he gets x hits on his next x at-bats, he will have 12 + x base hits in 98 + x at-bats, and his average will be of:

$Avg = \frac{12 + x}{98 + x}$

To raise his batting average to .210, $Avg = 0.21$ is needed, hence:

$Avg = \frac{12 + x}{98 + x}$

$\frac{12 + x}{98 + x} = 0.21$

$12 + x = 20.58 + 0.21x$

$0.79x = 8.58$

$x = \frac{8.58}{0.79}$

$x = 10.86$

Rounding up, he needs 11 consecutive base hits.

You can learn more about proportions at https://brainly.com/question/24372153