Your family likes to eat fruit, but because of budget constraints, you spend only $36.00 each week on fruit. Your two choices are apples and grapes. Apples cost $0.40 per pound, and grapes cost $1.20 per pound. One way to find a linear formula giving the number of pounds g of grapes that you can buy in terms of a, the number of pounds of apples, is to write the budget constraint as an equation and solve it for g. (a) If you buy 5 pounds of apples, then, of course, you spend 0.40 ✕ 5 = 2.00 dollars on apples. In general, if you buy a pounds of apples, how much money C do you spend on apples? Your answer should be an expression involving a.
Your family likes to eat fruit, but because of budget constraints, you spend only $36.00 each week on fruit. Your two choices are apples and grapes. Apples cost $0.40 per pound, and grapes cost $1.20 per pound. One way to find a linear formula giving the number of pounds g of grapes that you can buy in terms of a, the number of pounds of apples, is to write the budget constraint as an equation and solve it for g. (a) If you buy 5 pounds of apples, then, of course, you spend 0.40 ✕ 5 = 2.00 dollars on apples. In general, if you buy a pounds of apples, how much money C do you spend on apples? Your answer should be an expression involving a.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Your family likes to eat fruit, but because of budget constraints, you spend only $36.00 each week on fruit. Your two choices are apples and grapes. Apples cost $0.40 per pound, and grapes cost $1.20 per pound.
One way to find a linear formula giving the number of pounds g of grapes that you can buy in terms of a, the number of pounds of apples, is to write the budget constraint as an equation and solve it for g.
(a) If you buy 5 pounds of apples, then, of course, you spend 0.40 ✕ 5 = 2.00 dollars on apples. In general, if you buy a pounds of apples, how much money C do you spend on apples? Your answer should be an expression involving a.
C(a) =
(b) Write an expression involving g to represent how much money C you spend on grapes if you buy g pounds of grapes.
C(g) =
(c) Use your answers to parts (a) and (b) to write an equation expressing the budget constraint of $36 in terms of a and g.
36 =
(d) Solve the equation you found in part (c) for g, and thus find a formula expressing g as a linear function of a.
g =
C(a) =
(b) Write an expression involving g to represent how much money C you spend on grapes if you buy g pounds of grapes.
C(g) =
(c) Use your answers to parts (a) and (b) to write an equation expressing the budget constraint of $36 in terms of a and g.
36 =
(d) Solve the equation you found in part (c) for g, and thus find a formula expressing g as a linear function of a.
g =
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