Question 111542: 2. The state fair is coming to town. Since you love the rides, you can’t wait to go. When you get to the ticket counter you notice three options for purchasing tickets.
Option 1: Pay one price at the gate for limitless riding…$25
Option 2: Pay $5 at the gate and then paying $0.75 for each ride you go on.
Option 3: Pay nothing at the gate and pay $1.25 for each ride.
Write general linear equations for each option that describe your cost (y) as a function of how many rides you go on (x)
(use y = mx + b form)
Also, if you knew ahead of time that you were going to experience 17 rides, which option would be cheapest?
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website! To write the equations, realize that y will be the amount of money paid and x will be the number of rides.
:
Option 1:  , because whether you go on 0 or 100 rides, the cost is the same.
:
Option 2:  , because .75 = 3/4 and you have the initial $5 cost.
:
Option 3:  , 1.25 = 5/4
:
Now, evaluating each option for 17 rides:
 (I used a calculator)
:
Option 2 is the cheapest.
:
You should get extra credit for this next part:
:
The horizontal line is option 1, the green line is option 2, and the blue line is option 3.
:
Option 3 is a good deal if you aren't going on more than 9 rides. If you go on 10 rides, Option 3 and Option 2 cost the same.
:
If you are going to ride 11 times or more up to 26 times, then Option 2 is the best deal.
:
Option 1 isn't a good deal unless you are going to go on 27 rides or more.
|
|
|
