Let
t--------> the time in hours
d-------> the distance in miles
we know that
this is a linear equation that represent the scenario
in this equation the independent variable is the time t and the dependent variable is the distance d
The distance's equation in function notation is equal to
Using a graph tool
see the attached figure
The domain of the function is the interval----------> [0,∞)
The range of the function is the interval-------> [0,∞)
<u>Statements</u>
<u>a) The independent variable, the input, is the variable d, representing distance</u>
The statement is false
Because the independent variable is the variable t
<u>b) The distance traveled depends on the amount of time Marlene rides her bike</u>
The statement is true
Because the distance's equation in function notation is equal to
<u>c) The initial value of the scenario is 16 miles per hour</u>
The statement is false
Because represent the rate or the slope of the linear equation
<u>d) The equation t = d + 16 represents the scenario</u>
The statement is false
Because, the scenario is represented by the function
<u>e) The function f(t) = 16t represents the scenario</u>
The statement is true
