Define a function to represent the situation

Question

An air freshener starts with 35 grams and evaporates. In each of the following situations define a function that gives the remaining mass of the air freshener (in grams) in terms of the number of days t, since the air freshener was first used.

The mass of the air freshener A decreases by 3 grams each day. Define a function, f, to represent this situation.

Answer 1

f(t) = mass of air freshener

 

t = time in days

 

m₀ = initial amount of air freshener = 35 g

 

r = rate at which amount decreases = 3 g/day

 

f(t) = m₀ - rt

 

f(t) = (35 - 3t) grams

 

t = days