Answer:
4 balloon would expect to be orange
The answer is A. Slope is rise/run. According to the graph, you can trace out and see that it rises 1 and goes to the right 4 times. This means that it has a positive slope of 1/4. And the line crosses the y intercept at y = 3
So answer choice A is correct.
is a right triangle with base length 1 and height 8, so the area of
is
.
The average value of
over
is given by the ratio
The denominator is just the area of
, which we already know. The average value is then simplified to
In the
-plane, we can describe the region
as all points
that lie between the lines
and
(the lines which coincide with the triangle's base and hypotenuse, respectively), taking
. So, the integral is given by, and evaluates to,
Its greater by a factor of 2^2 ( = 4)
Its 4 times the area of the original square.
