Question

Help! i need to find the average rate and initial value from this table.

Answer 1

Average rate of change = 9

Initial value = 12

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.

Answer 2

Average is 37.5 and initial is 12

Explanation:

You first add up all the Y's and then divide them by 4 since there is only 4 numbers on the X's.

Then after you do 150÷4 you get 37.5 which is your AVERAGE.

The initial is the number that you started with so it has to be 12.

Hope this helped!

Thanks!

-TTL