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?

Isaac traveled 12.8 miles by taxi for $27.46.

Step-by-step explanation:

The formula required here is

$2.50 + ($1.95/mile)x = $27.46.

We need to solve this for x, the number of miles traveled:

Subtract $2.50 from both sides, obtaining:

($1.95/mile)x = $24.96

Now divide both sides by ($1.95/mile):

   $24.96

= 12.8 miles

($1.95/mile)

Isaac traveled 12.8 miles by taxi for $27.46.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950