Demetri lives in the city and sometimes uses a ride share service. A ride costs $1.50 for the first mile and $0.25 for each additional mile. Demetri does not want to spend more than $3.75 on a ride.

9 miles

Step-by-step explanation:

Given data

A ride costs $1.50

$0.25 for each additional mile

Let the number of miles be x

and the cost of x miles be y

Hence the expression for the total cost is

y= 1.5+ 0.25x

now when y= 3.75

3.75= 1.5+0.25x

3.75-1.5= 0.25x

2.25= 0.25x

x= 2.25/0.25

x= 9 miles

Hence he must not go beyond 9 miles