Answer:
Average rate of change = 9
Initial value = 12
Step-by-step explanation:
The table represents a function that gives you the rent value in dollars (y) for a given number of days (x). The input, or x, is the number of days. The output, or y, is the cost in dollars.
For example, for 0 days, it costs $12.
For 1 day, it's $21.
For 4 days, it's $48.
The initial value is the value of the function at x = 0. Look at the table. The value of the function is the value of y. You need the value of y for x = 0. From the table you see that y = 12 when x = 0, so the initial value is $12.
To calculate the average rate of change, pick any two points.
Let's pick
x = 0 with y = 12, and
x = 3 with y = 39.
To find the average rate of change, divide the difference in y by the difference in x for the two points we picked.
For the two points we picked, the difference in y is 39 - 12 = 27.
The difference in x is 3 - 0 = 3.
Now we divide the difference in y by the difference in x.
average rate of change = 27/3 = 9
The average rate of change is 9.
