Slow cab taxi charges $1.75 flat rate in addition to $0.65 per mile. Sheena has no more than $10 to spend on a ride.  Write a linear equation to represent this situation.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

Hello!

Denote the number of miles ridden as `x.` Then $0.65 per mile means that the price will be `0.65*x` for a mileage and the total price including flat rate will be

`0.65*x+1.75.`

If Sheena want to spend all her $10, we obtain a linear equation

`0.65*x+1.75=10.`

This is the answer.

 

It is simple to solve it: subtract 1.75 from the both sides and obtain

`0.65*x=10-1.75=8.25,`

then divide both sides by 0.65 and obtain the solution

`x=8.25/0.65 approx 12.7` (miles).

 

Actually, the text of the problem gives us a linear inequality,

`0.65*x+1.75lt=10,`

because "Sheena has no more than $10 to spend on a ride."

The solution for this inequality is `xlt=12.7.`

Approved by eNotes Editorial Team

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial