The linear function that can be used to find the amount in dollars Luis can spend on entertainment is given by:
f(x) = (x - 35)/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.
In this problem:
- He gets x dollars in allowance.
- $35 is used to pay for his cell phone.
- One sixth of the remaining money, that is, one sixth of x - 35, is spent on entertainment.
Hence, the function is given by:
f(x) = (x - 35)/6.
More can be learned about linear functions at https://brainly.com/question/24808124
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