The apache 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.

Isaac traveled 12.8 miles

Step-by-step explanation:

Let  x represent the number of miles .

Given: The Apache Taxi Company charges $2.50 to pick up a passenger and then adds $1.95 per mile.

Then, by given condition we have,

Subtract 2.50 from both sides,

Simplify:

Divide by 1.95 from both sides,

Simplify:

miles

12.8 miles did Isaac traveled.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for