A taxicab company charges $2.10 plus $0.80 per mile. Carmen paid a fare of $11.70. Write and solve an equation to find the number of miles she traveled.

y (x) = 0.8x+2.1

x=12 miles

Step-by-step explanation:

Let x represent the number of miles covered and with a fixed charge of 2.1 irrespective of miles covered then the equation can be written as

y (x) = 0.8x+2.1

Substituting y (x) with 11.7 then

11.7=0.8x+2.1

0.8x=11.7-2.1=9.6

X=9.6/0.8=12 miles