Answer:

Step-by-step explanation:


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
The intercept can be found when all other variables are equated to zero.
x-intercept when y = 0 and z = 0: 8x + 6*0 + 3*0 = 24 gives x = 3
y-intercept when x = 0 and z = 0: 8*0 + 6y + 3*0 = 24 gives y = 4
z-intercept when x = 0 and y = 0: 8*0 + 6*0 + 3z = 24 gives z = 8
The intercepts are (3, 0, 0), (0, 4, 0), and (0, 0, 8).
Answer:
The report is 960 words long.
Step-by-step explanation:
The handwritten book report is 4 pages long and the typed report is 3 pages long.
Now, it is given that typing at a steady rate of 20 words per minute, it takes 48 minutes to enter the report into soft copy.
So, the required number of words of the report is (20 × 48) = 960 words.
Hence, the report is 960 words long. (Answer)