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. Which statements are true of the scenario? Check all that apply. 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

Answer:

The statement that is true about the scenario is:

• The distance traveled depends on the amount of time Marlene rides her bike.

• The function f(t) = 16t represents the scenario.

Step-by-step explanation:

The time that she rides is represented by 't'

and the distance she traveled is represented by 'd'

Now, it is given that:

Marlene rides her bike at a rate of 16 miles per hour.

This means that the distance she rides in ''t" hours is given by:

        $d=16t$

Since, speed is the ratio of distance over time and it is given that the speed is:   16 miles per hour.

i.e.

$\dfrac{d}{t}=16\\\\i.e.\\\\d=16t$

Hence, the distance depends upon time.

i.e. the independent variable is time and the dependent i.e. the output is distance traveled.

Also, the initial value is zero.

i.e. at t=0 we have: d=0