Recently, a caramel apple vendor went to different venues. At a price of $10/caramel apple, Problem 6: they sold 1600 apples. But, at a price of $6/caramel apple they sold 3200 apples. Assume a linear relationship between price ($) and the number of caramel apples sold. Look at your variables below carefully. (a) Make a rough sketch of the given data. It does not need to be to scale. x= caramel apples sold (b) Determine x as a linear function of p. (Notice: the input variable is p and the output is x) edw (E) uoy) + (-x)n = (01 molygnev ni noitonul o06bsup sdt ot lsbom s brit (a) Uniog sieb os eri n o bnit 01 besn Itiw p = price per caramel apple (c) Note that REVENUE = (PRICE) x (ITEMS SOLD) → That is, R = x p. Write the revenue as a quadratic function %3D of p. (d) Determine the price that maximizes the revenue and the maximum revenue. (Hint- What does the vertex tell you???) bns yllsi worla) d-= (01 919rwx brit.noitanutbitbsupuoy no baż68 () Bemsics u 2 To MO (e) How many caramel apples will be sold at the price that maximizes the revenue?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section: Chapter Questions
Problem 8PT: Does Table 1 represent a linear function? If so, finda linear equation that models the data.
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Recently, a caramel apple vendor went to different venues. At a price of $10/caramel apple,
Problem 6:
they sold 1600 apples. But, at a price of $6/caramel apple they sold 3200 apples. Assume a linear relationship
between price ($) and the number of caramel apples sold. Look at your variables below carefully.
(a) Make a rough sketch of the given data. It does not need to be to scale.
x= caramel apples sold
(b) Determine x as a linear function of p. (Notice: the input variable is p and the output is x) edw (E)
uoy) + (-x)n = (01 molygnev ni noitonul o06bsup sdt ot lsbom s brit (a)
Uniog sieb os eri
n o bnit 01 besn Itiw
p = price per caramel apple
(c) Note that REVENUE = (PRICE) x (ITEMS SOLD) → That is, R = x p. Write the revenue as a quadratic function
%3D
of p.
(d) Determine the price that maximizes the revenue and the maximum revenue.
(Hint- What does the vertex tell you???)
bns yllsi
worla) d-= (01 919rwx brit.noitanutbitbsupuoy no baż68 ()
Bemsics u 2 To MO
(e) How many caramel apples will be sold at the price that maximizes the revenue?
Transcribed Image Text:Recently, a caramel apple vendor went to different venues. At a price of $10/caramel apple, Problem 6: they sold 1600 apples. But, at a price of $6/caramel apple they sold 3200 apples. Assume a linear relationship between price ($) and the number of caramel apples sold. Look at your variables below carefully. (a) Make a rough sketch of the given data. It does not need to be to scale. x= caramel apples sold (b) Determine x as a linear function of p. (Notice: the input variable is p and the output is x) edw (E) uoy) + (-x)n = (01 molygnev ni noitonul o06bsup sdt ot lsbom s brit (a) Uniog sieb os eri n o bnit 01 besn Itiw p = price per caramel apple (c) Note that REVENUE = (PRICE) x (ITEMS SOLD) → That is, R = x p. Write the revenue as a quadratic function %3D of p. (d) Determine the price that maximizes the revenue and the maximum revenue. (Hint- What does the vertex tell you???) bns yllsi worla) d-= (01 919rwx brit.noitanutbitbsupuoy no baż68 () Bemsics u 2 To MO (e) How many caramel apples will be sold at the price that maximizes the revenue?
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