Answer :
Using a linear function, it is found that he would have to ride his bicycle 7.9 miles a day to meet his goal.
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 this problem, we have that:
- The 8 miles he has already ridden is the intercept.
- The daily average he needs is the slope.
When x = 4, y = 39.6, hence:
39.6 = 4m + 8
4m = 31.6
m = 31.6/4
m = 7.9.
He would have to ride his bicycle 7.9 miles a day to meet his goal.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1