A baseball player's batting average is equal to the number of hits divided by the number of at bats. A professional player has 139 hits in 515 at bats in 2012 and 167 hits in 584 at bats in 2013. Write and solve an equation to find how many additional consecutive hits the batter would have needed to raise his batting average in 2012 to be at least equal to his average in 2013.
A baseball player's batting average is equal to the number of hits divided by the number of at bats. A professional player has 139 hits in 515 at bats in 2012 and 167 hits in 584 at bats in 2013. Write and solve an equation to find how many additional consecutive hits the batter would have needed to raise his batting average in 2012 to be at least equal to his average in 2013.
His batting average for 2012 was: 139/515=.270
His batting average for 2013 was: 167/584=.286
In order for his batting average in 2012 to equal to or exceed his batting average in 2013, he would have needed to batt:167/584 X 515=148 hits in 2012, which means that he needed:
148 - 139=9 additinal consecutive hits, so that his average would have climbed to:
148/515=.287, slightly exceeding his average in 2013.
