we know that
The intersection point of both graphs is a common point for both functions, for which for the same input value, both functions will have the same output value.
so
the point of intersection is
for an input value equal to
the output value for both functions is
therefore
<u>the answer is the option</u>
X= 4
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
