Answer:
1/4
Step-by-step explanation:
1/2 = 2/4
3/4-2/4=1/4
<span>Answer:
We'll have to integrate the growth rate with respect to time, without forgetting the amount of area covered at the start.
A = 2010 + â« 8t1/2 dt (as t goes from 0 to 24)
A = 2010 + [(16/3) t3/2] (as t goes from 0 to 24)
A = 2010 + 627 = 2637 acres
We don't integrate the 2010 here because whatever effects of the passing of time have already taken place over that area. We just treat it as a constant and add it to the result of integration.</span>
Explanation
Problem #2
We must find the solution to the following system of inequalities:

(1) We solve for y the first inequality:

Now, we multiply both sides of the inequality by (-1), this changes the signs on both sides and inverts the inequality symbol:

The solution to this inequality is the set of all the points (x, y) over the line:

This line has:
• slope m = 3/2,
,
• y-intercept b = -2.
(2) We solve for y the second inequality:

The solution to this inequality is the set of all the points (x, y) below the line:

This line has:
• slope m = -1/3,
,
• y-intercept b = 2.
(3) Plotting the lines of points (1) and (2), and painting the region:
• over the line from point (1),
,
• and below the line from point (2),
we get the following graph:
Answer
The points that satisfy both inequalities are given by the intersection of the blue and red regions: