Question

A population of 100 frogs has a growth rate of 1.25% each month. At this growth rate,


the function f(x) = 100(1.25)* gives the population in x months. In how many months


will the population first reach 500?

Answer 1

Answer: 7.2 months

Step-by-step explanation:

Hi, to answer this question we have to substitute f(x) =500 in the equation given:

f(x) = 100(1.25)^x

500= 100(1.25)^x

Solving for x (number of months)

500/100 = 1.25^x

5 = 1.25^x

log 5 =log 1.25^x

log 5 =x (log 1.25)

log 5 /log 1.25 =x

x = 7.2 months

Feel free to ask for more if needed or if you did not understand something.