### Home > APCALC > Chapter 6 > Lesson 6.5.1 > Problem6-180

6-180.

$B(0)+\int_0^{364}B^\prime(t)dt=212$ , where $B$ represents the number of “buddies” you have in your buddyzone.com account $t$ is days since your $16$th birthday.

1. In the context of the problem, write a complete description about what the integral is computing. Use correct units and be sure to mention the meaning of the bounds in your description.

Recall that integrals can be considered accumulation functions.

2. If $\int _ { 0 } ^ { 364 } B ^ { \prime } ( t ) d t = 115$, how many buddies did you have on your $16$th birthday? Justify your answer.

$B(0)$ represents the number of buddies you have on your $16$th birthday.