Question

Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. This relationship is modeled with distance d as a function of time t.

Which statements are true of the scenario? Select two answers..

The independent variable, the input, is the variable d, representing distance.
The distance traveled depends on the amount of time Marlene rides her bike.
The initial value of the scenario is 16 miles per hour.
The equation t = d + 16 represents the scenario.
The function f(t) = 16t represents the scenario

Answer 1

Correct choices:
- The distance traveled depends on the amount of time Marlene rides her bike.
- The function f(t) = 16t represents the scenario.

Reason: t (time) is the independent variable and d depends on t, so d(t) = 16t (16 miles per hour × time). The initial value d(0) = 0 (not 16 mph), and t = d + 16 is not the correct relationship. The independent variable is t, not d.