Answer:
[tex]10.897[/tex]
Step-by-step explanation:
An baseball player’s batting average decreases from 0.312 to 0.278 .
Let [tex]x_0[/tex] be the initial baseball player’s batting average and [tex]x_1[/tex] be the final baseball player’s batting average .
Initial value [tex]\left ( x_0 \right )[/tex] = 0.312
Final value [tex]\left ( x_1 \right )[/tex] = 0.278
So, change in value =Final value - Initial value = [tex]x_1-x_0[/tex] = [tex]0.278-0.312=-0.034[/tex]
Therefore , decrease in value = 0.034
We know that percent decreased = ( decrease in value × 100 ) ÷ Initial value
i.e. , [tex]\frac{0.034}{0.312}\times 100=\frac{3400}{312}=10.897[/tex]
Or we can say percentage change in baseball player’s batting average = [tex]-10.897 \%[/tex]
