In 2000, Carl’s Candy Shop sold gummy bears for $0.38 per pound, and in 2008 they cost $0.72 per pound. Let y represent the cost per pound of the gummy bears and x represent the years after 2000.
A) Write a linear equation to model these data. Round the slope to the nearest hundredth.
B) Explain the meaning of the slope in the context of the problem.
C) Find the cost of a pound of gummy bears in 2003.
D) When was the cost about $0.66 per pound?

Question

04-03-2022
Mathematics

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In 2000, Carl’s Candy Shop sold gummy bears for $0.38 per pound, and in 2008 they cost $0.72 per pound. Let y represent the cost per pound of the gummy bears and x represent the years after 2000.
A) Write a linear equation to model these data. Round the slope to the nearest hundredth.
B) Explain the meaning of the slope in the context of the problem.
C) Find the cost of a pound of gummy bears in 2003.
D) When was the cost about $0.66 per pound?

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raphealnwobi raphealnwobi · Answer 1 · 2022-03-15T13:26:41+01:00

The slope of the line is 0.34, which means that the price of the bear increase by $0.34 each year.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Let y represent the cost per pound of the gummy bears and x represent the years after 2000.

a) In 2000, Carl’s Candy Shop sold gummy bears for $0.38 per pound, that is (0, 0.38) while in 2008 they cost $0.72 per pound that is (8, 0.72). Hence:

y - 0.38 = [(0.72 - 0.38) / (8 - 0)](x -0)

y = 0.0425x + 0.38

b) The slope of the line is 0.0425, which means that the price of the bear increase by $0.0425 each year.

c) in 2003, x = 3, hence:

y = 0.0425(3) + 0.38 = 0.5075

d) for y = 0.66

0.66 = 0.0425x + 0.38

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