The exponential function f(x) = 3(5)x grows by a factor of 25 between x = 1 and x = 3. what factor does it grow by between x = 5 and x = 7?

a) 5
b) 25
c) 125
d) 625

B) 25

Step-by-step explanation:

Given exponential function:

The growth factor between and is 25.

To find the growth factor between and

Solution:

The growth factor of an exponential function in the interval and is given by :

We can check this by plugging in the given points.

The growth factor between and would be calculated as:

Plugging in values.

(On canceling the common terms)

 (Using quotient property of exponents )

∴  

Similarly the growth factor between and would be:

Plugging in values.

(On canceling the common terms)

 (Using quotient property of exponents )

∴  

Thus, the growth factor remains the same which is  =25.

answer: 40392

step-by-step explanation:

10098 x 4 = 40392