Question

Find the average rate of change between x=6 and x=8 in degrees per minute: Round to two decimal places. Do not include units.

Answer 1

To find the average rate of change, we need to know the function values or y-values at these two x-values.

Given that the function value at x=6 is y1=2 and at x=8 is y2=5.

Now, substitute these values into the formula for the rate of change:

rate_of_change = (y2 - y1) / (x2 - x1)

This gives it as:

rate_of_change = (5 - 2) / (8 - 6)

Now calculate the numerator :

3 = 5 - 2

Calculate the denominator :

2 = 8 - 6

Then divide the numerator by the denominator :

rate_of_change = 3 / 2

Upon performing this division, we get the average rate of change as 1.5.

So, the average rate of change between x=6 and x=8 is 1.5 (rounded to two decimal places).