Question

Match each function to its domain and range.

Answer 1

Answer:

This is the concept of application of exponential growth, suppose in 1990 time,t=0 and in 1990 time,t=9. Using the exponential growth formula given by:

f(t)=ae^(kt)

thus substituting the value we get:

40=37e^(9k)

this can be written as:

(40/37)=e^(9k)

introducing the natural logs we get:

ln(40/37)=9k

hence;

k=1/9ln(40/37)=0.0087

Therefore our formual will be given by:

f(t)=37e^(0.0087t)

N/B: The population is in millions. Thus to get the population in 2016 we shall proceed as follows;

t=26

thus

f(t)=37e^(26*0.0087)

f(t)=46.35 million

Step-by-step explanation: