A high school has a rectangular parking lot that measures 400 ft long by 250 ft wide. The school board wants to double the area of the lot by increasing both its
length and width by the same amount, x ft. The board also wants to build a fence
around the new lot. The cost to expand the lot is estimated to be $1.50 per square
foot of new space. The fence will cost $20 per foot of fencing. Costs include labor
and materials.
Task Description
Estimate the total cost of expanding and fencing in the lot.
a. Draw a diagram of the situation. Your diagram should show both the original
parking lot and what the lot will look like after it has been expanded. Label all
dimensions.

step-by-step explanation:

compare

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

add the numbers under frequency to find the total number:

5 + 8 +7 + 4 + 0 +1 = 25

the answer is 25.