Maths question please answer ASAP

Question

After a recycling program is introduced, the weight of rubbish disposed of by a business each month is given by 𝑊 = 80(3 −0.026𝑚), where 𝑊 is measured in kilograms and 𝑚 is the number of months since recycling was introduced.

How long after recycling starts will the weight of rubbish disposed of equal 20 kilograms?

Answer 1

The question is looking for the time in months it takes for 20 kg to be recycled. Thus, given the formula, the following can be done:

20 = 80(3- 0.026m)

20/80 = 3 - 0.026m

0.25 - 3 = -0.026m

(0.25 - 3) / (-0.026) = m

m = 105.8 months