The formula for the average value of a function is
where b is the upper bound and a is the lower. For us, this formula will be filled in accordingly.
. We will integrate that now:
![\frac{1}{2}[ \frac{2x^3}{3}+3x]](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%5B%20%5Cfrac%7B2x%5E3%7D%7B3%7D%2B3x%5D%20%20)
from 0 to 2. Filling in our upper and lower bounds we have
![\frac{1}{2}[( \frac{2(2^3)}{3}+3(2))-0]](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%5B%28%20%5Cfrac%7B2%282%5E3%29%7D%7B3%7D%2B3%282%29%29-0%5D%20%20)
which simplifies to
and
which is 17/3 or 5.667
We need to cross multiply
So we start off by multiplying the numerator of the right fraction by the denominator of the left fraction, and the same thing only switched around. We get the equation:
3n=24
divide both sides by 3 to get
n=8
The total number of points would be equal to 5n.
You would simply multiply 5 by the amount of questions. In this case, we do not know the amount, so we can use the variable n.
Answer:
The answer is B. 1
Step-by-step explanation:
rise over run
1/1=1
