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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.

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Answer:

B. 1.95x + 2.50 = 27.46; Isaac traveled 12.8 miles.  

Step-by-step explanation:

If x represents the number of miles driven by the taxi  

Then, amount charged= $ (2.50+1.95x)  

Isaac was charged $27.46  

2.50+1.95x = 27.46  

Subtracting both sides by 2.50, we get  

1.95x= 24.96  

Dividing both sides by 1.95, we get  

x=12.8

The linear equation will be 1.95x + 2.50 = 27.46

Amount charged to pick up passenger = $2.50 to pick up a passenger

Amount charged per mile = $1.95 per mile

Since Isaac was charged $27.46, then the equation will be:

2.50 + 1.95(x) = 27.46

2.50 + 1.95x = 27.46

Therefore, the linear equation will be 1.95x + 2.50 = 27.46

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