If $h ^ { \prime }$ is a child's rate of growth in pounds per year, which of the following expressions represents the increase in the child's weight (in pounds) between the years 3 and 7 ?
A) $\int _ { 3 } ^ { 7 } h ^ { t } ( t ) d t$
B) $h ^ { t } ( 7 ) - h ^ { t} ( 3 )$
C) $\int _ { 7 } ^ { 3 } h ( t ) d t$

Question

Quizplus · Accepted Answer

The integral $\int _ { 3 } ^ { 7 } h ^ { t } ( t ) d t$ represents the area under the curve of the child's rate of growth over the interval from 3 to 7 years. This area represents the total increase in the child's weight over that interval.

If h′h ^ { \prime }h′ Is a Child's Rate of Growth in Pounds Per Year

If $h ^ { \prime }$ Is a Child's Rate of Growth in Pounds Per Year