Question

the function f(x)=10(2)^x models an insect population after x weeks to the nearest whole number what will be the population after 4 weeks

Answer 1

SOLUTION

GIVEN

The function $\sf{f(x) = 10 \times {2}^{x} }$ models an insect population after x weeks to the nearest whole number

TO DETERMINE

The population after 4 weeks

EVALUATION

Here it is given that the function $\sf{f(x) = 10 \times {2}^{x} }$ models an insect population after x weeks to the nearest whole number

Now we have to find the population after 4 weeks

So x = 4

Thus we get

$\sf{f(4) = 10 \times {2}^{4} }$

$\sf{ \implies \: f(4) = 10 \times 16}$

$\sf{ \implies \: f(4) = 160}$

Now 160 is a whole number

Hence the required population after 4 weeks

= 160

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