A multi-part math question.

Steps to Solve

1. Calculate the lateral surface area of the Great Pyramid

The lateral surface area of a square pyramid is given by the formula $A = 2bs$, where $b$ is the length of the base and $s$ is the slant height. Given: $b = 750$ feet $s = 610$ feet $A = 2 \times 750 \times 610 = 1500 \times 610 = 915000$ ft$^2$.

2. Determine the lateral surface area of the square pyramid from the net

First, measure the side of the square base and the height of the triangular face from the image provided. The base of the triangle is approximately 1.25 inches and the height of the triangle is approximately 2 inches. The area of one triangle is $(1/2) \times base \times height = (1/2) \times 1.25 \times 2 = 1.25$ in$^2$. Since there are four triangles, the lateral surface area is $ 4 \times 1.25 = 5$ in$^2$ The closest answer is A. $2.5 in^2$ may be a typo and is actually $5 in^2$

3. Analyze the magazine advertising expenditures graph

Examine the graph to determine which statement is supported by the data. A. Expenditures went up every year for both magazines: Magazine Y had a decrease from 2001 to 2002, so this is false. B. Expenditures were greater for Magazine X every year: In 1999, expenditures were greater for Magazine Y, so this is false. C. The total expenditure on the two magazines combined went up every year: Total expenditure decreased from 2000 to 2001, so this is false. D. The biggest decrease in total expenditure for the two magazines was from 2000 to 2001: Comparing the total expenditure of both magazines from year to year, we can see that the decrease from 2000 to 2001 is the largest decrease, so this is true.

4. Calculate the area of the carpet needed

The area will be the total area minus the area of the small rectangle. Area of the large rectangle: $12 \times 10 = 120$ ft$^2$ Area of the small rectangle: $5 \times 8 = 40$ ft$^2$ Area of the carpet needed: $120 + 40 + (5 \times 2) = 120 + 40 + 15 = 175$ ft$^2$.

5. Determine how Barbara should compute the points needed

Let $T$ be her current total points after 19 games. To average 20 points per game over a 20-game season, her total points must be $20 \times 20 = 400$. Let $x$ be the number of points she needs in the final game. Then $T + x = 400$, so $x = 400 - T$. Therefore, she should subtract her current total points from 400.