The allied taxi company charges $2.50 to pick up a passenger and then adds $1.95 per mile. isaac was charged $27.46 to go from one city to another. if x represents the number of miles driven by the taxi, which linear equation can be used to solve this problem, and how many miles did isaac travel, rounded to the nearest tenth? 1.95x + 2.50 = 27.46; isaac traveled 15.4 miles. 1.95x + 2.50 = 27.46; isaac traveled 12.8 miles. 2.50x + 1.95 = 27.46; isaac traveled 11.8 miles. 2.50x + 1.95 = 27.46; isaac traveled 10.2 miles.

The linear equation is 1.95x + 2.50 = 27.46

Issac traveled 12.8 miles ⇒ 2nd answer

Step-by-step explanation:

* Lets explain how to solve the problem

- The taxi company charges $2.50 to pick up a passenger

∴ 2.5 is a constant amount

- The taxi company charges $1.95 per mile

∴ The cost of any trip depends on the number of miles and the

   constant amount

∵ The number of miles driven by the taxi is x

∴ The linear equation of the cost of any trip is C = 1.95x + 2.50 ,

  where C is the cost of the trip

- Isaac was charged $27.46 to go from one city to another

∴ C = 27.46

∴ The linear equation is 1.95x + 2.50 = 27.46

* Lets solve the equation

∵ 1.95x + 2.5 = 27.46

- Subtract 2.50 from both sides

∴ 1.95x = 24.96

- Divide both sides by 1.95

∴ x = 12.8

∵ x is the number of miles traveled by Issac

∴ Issac traveled 12.8 miles

x = 12.8

Step-by-step explanation:

1.95x + 2.50 = 27.46  

         - 2.50.    -2.50.     (Subtract 2.50 from both sides)

1.95x = 24.96

/1.95.    /1.95.    (Divide by 1.95 on both sides)

x = 12.8

Hope this helps :)

but which class are u may know that first