Question

guided practice
example
suppose the rate of increase for the u.s. population is 1.4% instead of 1.24%. assume the starting population is still 281 million.
what is the growth factor b for this new rate of increase in population?
type your answer and then click or tap done.
use the ^ symbol (shift+6 on the keyboard) to signify an exponent. for example, for 2 to the third power, enter 2^3.

rate of increase	growth factor(b)	exponential growth function
1.4%	?	?

Explanation:

Step1: Recall the formula for growth factor

The growth factor \( b \) in an exponential growth model is given by \( b = 1 + r \), where \( r \) is the rate of increase (expressed as a decimal).

Step2: Convert the rate to decimal

The rate of increase \( r \) is \( 1.4\% \). To convert a percentage to a decimal, we divide by 100. So, \( r=\frac{1.4}{100} = 0.014 \).

Step3: Calculate the growth factor \( b \)

Using the formula \( b = 1 + r \), substitute \( r = 0.014 \). Then \( b=1 + 0.014=1.014 \).

Answer:

1.014