MODELING WITH MATHEMATICS The table shows the distances y a motorcyclist is from home after x hours. Time (hours), x
1 2 3
Distance (miles), y 0 45 90 135
0
a. Determine what type of function you can use to model the data. Explain your reasoning.
To model the data, you can use a
linear
function, because there is a constant rate of change
b. Write and evaluate a function to determine the distance the motorcyclist is from home after 6 hours.
A function is f(x) =
The motorcyclist is
miles from home after 6 hours.