Question

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

2.00
2.50
5.25
10.50

Answer 1

B. 2.50

Explanation:

Answer 2

The required is the multiplicative rate of change.

The correct answer is the second option 2.5

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