### Home > APCALC > Chapter 9 > Lesson 9.3.2 > Problem9-101

9-101.

Baby Mathilde loves milk. The function M represents the rate that Mathilde drinks milk in ounces per hour from when she wakes up at 6:15 a.m., $t=0$, to the time she takes her midday nap. Homework Help ✎

1. Given the situation described above, interpret the meaning of $\int_0^7M(t)dt=32$ .
Write a complete description about what the integral is computing. Use correct units and be sure to include the bounds in your description.

If you were to graph $y=M(t)$ the units on the horizontal axis would be hours and the units of the vertical axis would be ounces per hour. Since the integral represents the area under the curve, what are the units of the area under the curve?

2. Compute the value of $\frac { 1 } { 7 } \int _ { 0 } ^ { 7 } M ( t ) d t$ and interpret its meaning in the context of this problem.

Look at the bounds of the integral. How are the bounds related to the $1/7$?