It is given in the problem that
Liam buys a motorcycle for $2,900
Its value depreciates annually at a rate of 12%=0.12
At the end of t years, it has a value of less than $2,000
The exponential equation modeling this situation can be written as below
The inequality representing its value less than $2,000 can be written as below
For this case we have to:
x: Let the variable representing the number of people to travel in the group
y: Let the variable representing the number of miles traveled.
If friends only have $22 then we have the following inequality:
Now, if there are three people in the group we have that
The taxi can travel a maximum of 19.33 miles.
On the other hand, if the group wants to travel 10 miles then we have to y = 10.
Thus, they could travel a maximum of 5 people.
ANswer:
Traveling 3 people, the taxi can travel a maximum of 19.33 miles
Traveling 10 miles, a maximum of 5 people can travel