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

Let

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

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

we understand that

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

Using a graphical tool

refer to the attached image

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

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

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

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

This statement is incorrect

Because 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

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

This statement is correct

Answer:

The right answers are

b and e

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