Question

An baseball player’s batting average decreases from 0.312 to 0.278. What is the percent decreased?

Answer 1

`10.897`

Explanation:

An baseball player’s batting average decreases from 0.312 to 0.278 .

Let
`x_0` be the initial baseball player’s batting average and
`x_1` be the final baseball player’s batting average .

Initial value
`\left ( x_0 \right )` = 0.312

Final value
`\left ( x_1 \right )` = 0.278

So, change in value =Final value - Initial value =
`x_1-x_0` =
`0.278-0.312=-0.034`

Therefore , decrease in value = 0.034

We know that percent decreased = ( decrease in value × 100 ) ÷ Initial value

i.e. ,
`(0.034)/(0.312)* 100=(3400)/(312)=10.897`

Or we can say percentage change in baseball player’s batting average =
`-10.897 \%`