Question

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

Answer 1

The linear function that represent the cost per pound of the gummy bears in x years after 2000 is given by:

y(x) = 0.0425x + 0.38

What is a linear function?

A linear function is modeled by:

$y = mx + b$

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0, which can also be interpreted as the initial value of the function.

In this problem, we have that:

• In 2000, Carl’s Candy Shop sold gummy bears for $0. 38 per pound, hence b = 0.38.

• In 2008 they cost $0.72 per pound, that is, in 8 years there was an increase of $0.34 per pound, hence the slope is m = 0.34/8 = 0.0425.

Thus, the function is:

y(x) = 0.0425x + 0.38

More can be learned about linear functions at brainly.com/question/24808124