Answer:
See Explanation
Step-by-step explanation:
The question is incomplete. I will assume the function is:
Required
Determine the rate of decay
In an exponential function ,
The decay rate of the function is calculated as:
By comparison:
So, the equation becomes:
Make r the subject
<em>The rate of decay is 0.14</em>
Answer:
<em>The value 60 represents the speed of the vehicle the counselor is driving.</em>
Step-by-step explanation:
<u>Linear Function</u>
The linear relationship between two variables d and t can be written in the form
Where m is the slope (or rate of change of d with respect to t) and b is the y-intercept or the point where the graph of the line crosses the y-axis
The function provided in our problem is
Where d is the distance in miles the counselor still needs to drive after t hours. Rearranging the expression:
Comparing with the general form of the line we can say m=-60, b=130. The value of -60 is the slope or the rate of change of d with respect to t. Since we are dealing with d as a function of time, that value represents the speed of the vehicle the counselor is driving. It's negative because the distance left to drive decreases as the time increases