Using a linear function, the inequality that can be used to determine v is given by:
65 + 10.5 ≥ 175.
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.
For the function for his reward points, we have that:
- The y-intercept is of 65.
Hence his reward points after v visits is given by:
V(v) = 65 + 10.5.
He wins a free movie ticket when:
V(v) ≥ 175.
Hence the inequality is given by:
65 + 10.5 ≥ 175.
More can be learned about linear functions at https://brainly.com/question/24808124
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