What is the average rate of change of the function g(x) = 3(2^x) - 6 over the interval [0,3]? show all work.

7

Step-by-step explanation:

The average rate of change here, since this is not a line, is the slope of the secant line that is connecting those 2 points.  We can find that average rate of change by finding the y coordinates that go with each of those x coordinates and then applying the slope formula.  For g(0):

Anything raised to the power of 0 is 1, so we have then:

g(0) = 3(1) - 6 so

g(0) = -3 and the coordinate pair is (0, -3)

For g(3):

so

g(3) = 18 and the coordinate pair is (3, 18).

Now we plug those into the slope formula:

So the averagee rate of change, which is also the slope, between those 2 points is 7

50 min

step-by-step explanation:

they will be decreasing both their times in half

60 / 2 = 30

40/2 = 20

30 + 20 = 50

step-by-step explanation: