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
<h3>What is a linear function?</h3>A linear function is modeled by:
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