Question

The function f(x)=2×5x can be used to represent the curve through the points (1,10), (2,50) , and (3,250) what is the multplicative rate of change of the function?

Answer 1

f(x) = 2(5)ˣ

You can tell from the given equation that (5) is the multiplicative rate of change because 5 is the value being raised to the x-power.  

Let's see if that is true:

x  y

1  10        (10 x 5 = 50) so next y-value should be 50.

2  50       (50 x 5 = 250) so next y-value should be 250.

3  250    

Can you calculate what the next ccordinate will be? (4, ____)   (250 x 5 = 1250)

Answer: 5