Chapter 4.5, Problem 1P

To determine

To find:A function rule that represents the total amount of waste after m months.

Answer to Problem 1P

  $f(m)=50,000+420m$

Explanation of Solution

Given information:A landfill has 50,000 tons of waste in it. Each month it accumulates an average of 420 more tons of waste.

Calculation:The landfill has 50,000 tons of waste in it.

In 1 month it accumulates 420 tons more waste.

Therefore, in m months it accumulates $420m$ tons more waste.

Let $f(m)$ be a function that represents the total amount of waste after m months.

Then the function is given by,

  $f(m)=50,000+420m$