Use a calculator with a $y^{\mathrm{x}}$ key or a $\wedge$ key to solve the following.
The exponential function $f(x)=540(1.032)^{x}$ models the population of a country, $f(x)$, in millions, $x$ years after 1968. Complete parts (a) - (e).
a. Substitute 0 for $x$ and, without using a calculator, find the country's population in 1968.
The country's population in 1968 was $\square$ million.

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Answer

$\boxed{540}$ million is the final answer.

Steps

Step 1 ：The exponential function $f(x)=540(1.032)^{x}$ models the population of a country, $f(x)$, in millions, $x$ years after 1968.

Step 2 ：We are asked to find the country's population in 1968, which corresponds to $x=0$ in the function.

Step 3 ：Substituting $x=0$ into the function, we get $f(0)=540(1.032)^{0}$.

Step 4 ：Since any number raised to the power of 0 is 1, the population in 1968 is $540*1=540$ million.

Step 5 ：$\boxed{540}$ million is the final answer.