The linear function that models the cost of buying x pairs of jeans is given by:
C(x) = 22x + 6.
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, and can also be interpreted as the initial value of the function.
From this problem, when the number of jeans increases by 1, the cost increases by $22, hence the slope is of 22.
Then:
C(x) = 22x + b.
When x = 1, C(x) = 28, hence we use it to find b.
28 = 22 + b.
b = 6.
Hence the function is:
C(x) = 22x + 6.
More can be learned about linear functions at https://brainly.com/question/24808124
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