Question

What is the rate of change of the function shown on the graph? Round to the nearest tenth.

Answer 1

Answer:

The required is the multiplicative rate of change.

The correct answer is the second option 2.5

Step-by-step explanation:

The given function has the form of the exponential function

The general equation of the exponential function $y=c * r^x$

Wher c is constant and r is the multiplicative rate of change.

Using the given points to get the values of c and r

By using the point (0,2) ⇒∴  $2=c * r^0$ ⇒ c = 2

By using the point (1,5) ⇒∴  $5=2 * r^1$ ⇒ r = 5/2 = 2.5

Check the answer using the other points

If x = 2 ⇒⇒⇒  $y=2 * 2.5^2 = 12.5$

If x = -1 ⇒⇒⇒  y=2 * 2.5^(-1) = 0.8

So, the multiplicative rate of change = 2.5

Answer 2

Answer:

B. 2.50

Step-by-step explanation: