Question

The amount of garbage, G produced by a city with population p is given by G = f ( p ) . G is measured in tons per week, and p is measured in thousands of people. The town of Tola has a population of 45,000 and produces 6 tons of garbage each week. Express this information in terms of the function f. f = 6 / 45 f ( 45 ) = 6 f ( 6 ) = 45

Answer 1

Solution:

Given that the amount of garbage G produced by a city with population p is expressed as

$\begin{gathered} G=f(p) \\ where \\ G\text{ is measured in tons per week} \\ p\text{ is measured in thousands of people} \end{gathered}$

If a town Tola has a population of 45,000 and produces 6 tons of garbage per week, this implies that we substitute these parameters into the above equation.

This gives

$6=f(45)$

Hence, in terms of function f, the information is expressed as

$f(45)=6$

The second option is the correct answer.