121k views
5 votes
The exponential function f(x) models the population of a country, f(x), in millions, x years after . Complete parts (a)(e).a. Substitute 0 for x and, find the country's population in The country's population in was nothing million.

The exponential function f(x) models the population of a country, f(x), in millions-example-1
User Rawrex
by
8.4k points

2 Answers

0 votes

The country's population in 1968 was 557 million .

Using the exponential function given :


  • f(x) = 557(1.026)^(x)

The country's population in 1968 would be :

  • x = 0

Now we have :


f(0) = 557(1.026)^(0)

  • Note :
    a^(0) = 1


f(0) = 557(1)


f(0) = 557

Hence, the country's population in 1968 was 557 million .

User Jmoukel
by
7.8k points
4 votes

The given exponential function is


f(x)=557(1.026)^x

Where x is the number of years after 1968

f(x) is the population in millions

a) Substitute x by 0


f(0)=557(1.026)^0

Since any number to the power of zero = 1, then


\begin{gathered} (1.026)^0=1 \\ f(0)=557(1) \\ f(0)=557 \end{gathered}

The population in 1968 is 557 million

b) At year, 2000 we need to find the value of x


\begin{gathered} x=2000-1968 \\ x=32 \end{gathered}

Now let us find f(32)


\begin{gathered} f(32)=557(1.026)^(32) \\ f(32)=1266.399528 \end{gathered}

Round it to the nearest whole number

Then the population in 2000 is 1266 million

User Dcaz
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories