Question

score on last try: 1 of 2 pts. see details for more. at least one scored part is incorrect. jump to first changable incorrect part. next question get a similar question you can retry this question below a population numbers 19,000 organisms initially and grows by 1.4% each year. suppose p represents population, and t the number of years of growth. an exponential model for the population can be written in the form p = a·b^t where a = 19,000 and b = . question help: video 1 video 2

Explanation:

Step1: Recall exponential growth formula

In exponential growth, the formula is \( P = a \cdot b^t \), where \( a \) is the initial amount, \( b = 1 + r \), and \( r \) is the growth rate (in decimal).

Step2: Convert growth rate to decimal

The growth rate \( r = 1.4\% = \frac{1.4}{100} = 0.014 \).

Step3: Calculate \( b \)

Using \( b = 1 + r \), substitute \( r = 0.014 \). So \( b = 1 + 0.014 = 1.014 \).

Answer:

\( 1.014 \)