What is the multiplicative rate of change

Question

The function f(x)=2•5^x can be used to represent the curve through the points (1,10), (2,50), and (3,250). 

Answer 1

the ordered pairs given represent the input (x) and output (y) values from the given equation. 

2 x 5^1 = 10

2 x 5^2 = 50 

2 x 5^3 = 250 

 

The question is asking how much bigger does the output get at each point. 

Since you're adding 1 to the exponent each time, you are adding a power of 5. 

 

So doesn't it make sense that the outputs will be 5 times bigger each time? 

 

10 x 5 = 50

50 x 5 = 250 

250 x 5 = ??? 

 

test this out.... what is the value of the function when you put in 4 for X? Does it give you 5 times the value when you put in 3?