Consider the following graph, which shows the U.S. population in 2000 and the projected U.S. population in
Question:
Consider the following graph, which shows the U.S. population in 2000 and the projected U.S. population in 2050.
(a) Compute the projected percent increase in population from 2000 to 2050 by using the formula .
(b) Measure the radius and then compute the area of the circle representing 2000. Use A = πr2.
(c) Repeat part (b) for the circle representing 2050.
(d) Compute the percent increase in the size of the area of the circle from 2000 to 2050.
(e) Are the circle graphs misleading?
America in 2000 and in 2050 Population in 2000 275 million Projected population in 2050 394 million 8.2% 0.9% 0.7% 3.9% 24.5% 12.2% x11.4% 13.6% 71.8% 52.8% African-American Hispanic* White Asian and Pacific American Indian, Eskimo Islander and Aleut
Step by Step Answer:
a b Radius 14 in 025 in A r 2 025 2 00625 0196349541 0196 in 2 c Rad...View the full answer
A Survey of Mathematics with Applications
ISBN: 978-0134112107
10th edition
Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde
Related Video
The area of a circle is given by the formula: A = ?r^2 Where A is the area, ? is a mathematical constant (approximately 3.14), and r is the radius of the circle. The radius is the distance from the center of the circle to the edge. So for example, if the radius of a circle is 5 units, the area would be: A = ?(5^2) = ?(25) = 78.5 square units Here three friends went out to a restaurant and decided to have pizza for lunch. While they were waiting for their order, one of them stepped out to take a call but promised to return in two minutes. The waiter came and presented them with the menu, and they decided to order two 10-inch pepperoni pizzas. The waiter took their order and left. Just then, the third friend returned and asked what they had ordered. They explained that they had ordered two small pepperoni pizzas as they were only three of them and it would be enough for them. However, the third friend suggested that for the same price, they could get a large pizza that would be much bigger than the two small ones. He asked the waiter for a pen and paper and proceeded to calculate the area of the two small pizzas and compared it to the area of one large pizza. The friends were amazed at how the circle measurements worked and decided to change their order from two small pizzas to one large pizza.
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