Question 6 the growth of a population each year is given by the function f(x)=250,000(1.17)* at what percent is the population growing each year? a. 250,000% b. 1.17% c. 292,500% d. 17%

Option D. 17%

Step-by-step explanation:

we have

This is a exponential function of the form

where

a is the initial value

b is the base

In this problem

a=250,000 people

b=1.17

Remember that

b=1+r

so

1+r=1.17

r=1.17-1=0.17

Convert to percentage

0.17*100=17%

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents