What is the constant of variation in each of the variation equations in Exercises 1924? Data from
Question:
What is the constant of variation in each of the variation equations in Exercises 19–24?
Data from in Exercises 19–24
Write each formula using the “language” of variation. For example, the formula for the circumference of a circle, C = 2πr, can be written as
“The circumference of a circle varies directly as the length of its radius.”
P = 4s, where P is the perimeter of a square with side of length s d = 2r, where d is the diameter of a circle with radius r S = 4 Tr², where S is the surface area of a sphere with radius r V = ³3, where V is the volume of a sphere with radius r A = -bh, where A is the area of a triangle with base b and height h = r²h, where V is the volume of a cone with radius r and height h
Step by Step Answer:
To determine the constant of variation in each of the variation equations we need to identify the co...View the full answer
Intermediate Algebra
ISBN: 9780134895987
13th Edition
Authors: Margaret Lial, John Hornsby, Terry McGinnis
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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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