Answer:
28 miles
Step-by-step explanation:
Let
x ----> the number of miles
y ----> the total cost of taxi fare
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value (value of y when the value of x is equal to zero)
In this problem we have
The unit rate or slope is equal to
The initial value or y-intercept is equal to
substitute
Find out how many miles can you ride for $10
Subtract $2 of the tip
we have
y=$10-$2=$8
substitute in the linear equation
Solve for x
[tex]x=28\ miles/tex]