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 th

Question

3 months ago

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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 th

e 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.

Mathematics

2 answers:

Inessa [12.5K] · Answer 1 · 2026-02-27T09:16:00+03:00

Let

t--------> the time measured in hours

d-------> the distance in miles

we understand that

$d=16t$

this represents a linear equation corresponding to the situation

where time t is the independent variable and distance d is the dependent variable

The distance in function notation can be expressed as

$f(t)=16t$

Using a graphical tool

refer to the attached image

The function's domain extends over the interval----------> [0,∞)

$t\geq0$

The range of this function is defined by the interval-------> [0,∞)

$f(t)\geq0$

Statements

a) The independent variable, the input, is the variable d, which signifies distance

This statement is incorrect

Because the independent variable is actually t

b) The distance covered is contingent on the duration of time Marlene spends riding her bike

This statement is correct

Because the equation for distance in function notation is equal to

$f(t)=16t$

c) The initial speed relevant to the scenario is 16 miles per hour

This statement is incorrect

Because $16$ indicates the slope or rate of the linear equation

d) The equation t = d + 16 relates to the scenario

This statement is incorrect

Because the situation is represented by the function $f(t)=16t$

e) The function f(t) = 16t relates to the scenario

This statement is correct

zzz [12.3K] · Answer 2 · 2026-02-27T09:12:51+03:00

zzz [12.3K]3 months ago

7 0

Answer:

The right answers are

b and e

I just completed the test.