Question

orene is biking along a flat trail. She created a table to track how many miles she ikes as a function of time, in minutes.

Time: 5, 10, 15, 20, 25
Distance: 1.5, 3.0, 4.5, 6.0, 7.5

What type of function best models this scenario?

A. sine function
B. Linear function
C. Quadratic function
D. Exponential function

Answer 1

To determine the type of function that best models the scenario of Orene biking along a flat trail, we can analyze the data from the table:

- At 5 minutes, she bikes 1.5 miles.
- At 10 minutes, she bikes 3.0 miles.
- At 15 minutes, she bikes 4.5 miles.
- At 20 minutes, she bikes 6.0 miles.
- At 25 minutes, she bikes 7.5 miles.

We can observe that as the time increases by 5 minutes, the distance increases by 1.5 miles consistently. This indicates a constant rate of change, which is characteristic of a linear relationship.

Thus, the best type of function to model this scenario is:

**B. Linear function**.