College Algebra with Modeling & Visualization (5th Edition)
5th Edition
ISBN: 9780321826138
Author: Gary K. Rockswold
Publisher: PEARSON
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Chapter 2.4, Problem 57E
Find the constant of proportionality k and the undetermined value in the table if y is directly proportional to x.
57. Sales tax y on a purchase of x dollars
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4 pounds of bananas cost $3.00 . What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of bananas, x?
Please don't answer in handwritten...thanku
Find the constant of variation k and the undetermined value in the table if y is directly proportional to x.
x
2
5
7
8
y
4
10
14
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a) What is the constant of variation?k = _____b) What is y when x = 8?y = ____
Find a mathematical model for the verbal statement. (Use k for the constant of proportionality).
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- In Exercises 15-17, find a mathematical model that represents the statement. (Determine the constant of proportionality.) A varies jointly as xandy.A=500whenx=15andy=8.arrow_forwardFind a mathematical model for the verbal statement. (Use k for the constant of proportionality.) V varies directly as the cube of l.arrow_forwardFind a mathematical model for the verbal statement. (Use k for the constant of proportionality). h varies directly as the square root of sarrow_forward
- a) calculate the test statistic and how H0 is rejected b) Give the percentage of variation in the weight of the snakes (Y) that is explained by the length of the snakes (X). c) Calculate the estimated weight (in g) of a snake that is 59cm longarrow_forwardFind a mathematical model that represents the statement. (Determine the constant of proportionality.)arrow_forwardWrite an equation that relates the quantities The volume V of a sphere varies directly with the cube of its radius r. The constant of proportionality is 4π/3 .arrow_forward
- Cylinder A has a radius of 7 inches and a height of 5 inches. Cylinder B has a volume of 490pi. What is the percentage change in volume from cylinder A to cylinder B? 50% decrease 75% increase 150% decrease 100% increasearrow_forwardWrite an equation that relates the quantities. U varies jointly with z and h. The constant of proportionality is 1/3.arrow_forwardComplete the explanation of why the the relationship is not proportional. Is ratio y/x constant or not? So the relationship between x and y is not proportional.arrow_forward
- 2. Ahmed took a total of 32 quizzes over the course of 4 weeks. How many weeks of school will Ahmed have to attend this quarter before he will have taken a total of 48 quizzes? Assume the relationship is directly proportional.arrow_forwardLet a be directly proportional to m and n2, and inversely proportional to y3. If a=9 when m=4, n=9, and y=3, find a when m=6, n=2, and y=7. Question content area bottom Part 1 a=enter your response here (Type an integer or a simplified fraction.)arrow_forwardNeed solution asap. I will rate your Anwer.arrow_forward
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