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.

Answer 1

Question is Incomplete; Complete question is given below;

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.

a. The independent variable, the input, is the variable d, representing distance.

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

c. The initial value of the scenario is 16 miles per hour.

d. The equation t = d + 16 represents the scenario.

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

Answer:

OPTION (b) and (e) are the true statements.

Step-by-step explanation:

Given:

$t=>$ time in hours that she rides

$d=>$  distance she rides

We have to find the statements that are true of the scenario.

Solution:

$d=16t$

The equation itself is a linear equation which presents an equation's scenario and time (t) is a independent variable and distance (d) is a dependent variable.

Equation for distance according to function is  $f(t)=16t$

Here, we can use graph tool, you can see the attested image below.

Function's domain is the interval⇒ [0,∞)

$t\geq0$

Function's range is the interval⇒ [0,∞)

$f(t)\geq0$

The statements which are TRUE are explained below :

b) The distance traveled depends on the amount of time Marlene rides her bike

It is true because as explained above that equation for distance according to function is  $f(t)=16t$

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

It is true because as explained that the scenario has been represented by the function above that $f(t)=16t$

* The statement (a) is false because the variable t is the independent variable.

* The statement (c) is false because $16$ is been represented as the slope or the rate of the linear equation.

* The statement (d) is false because $t = d + 16$ donot represents the scenario.