Answer:
Therefore the population will be maximum when x=30 inches.
Step-by-step explanation:
Given that, the mosquito population is a function of rainfall and can be approximated by the formula
where x is the number of inches of rainfall.
Differentiating with respect to x
Again differentiating with respect to x
Now we set N'(x)=0
Since at x=30, N''(x)<0, So at x=30, N(x) has maximum value.
Therefore the population will be maximum when x=30 inches.
The rate of change of the linear relationship is -1.
Explanation:
It is given that there is a linear relationship between all these points, these points lie on a straight line.
The equation to find the slope passing through two points and
is given by
Substituting the points and
, we get,
Thus, the slope is -1.
Thus, the rate of change of the linear relationship is -1.
x = total amount of gumballs
let's start subtracting the balls she's giving away
and we also know that after all that has been subtracted, she's only left with 5, so we can say that