Cade is comparing rental car rates by analyzing the graphs of the appropriate linear systems. Use what you know about slopes, y-intercepts, and graph types to match each system on the left with the general form of its graph on the right.

1) Rental Car A: $24.99/day + $0.99 per mile.
Rental Car B: $32.99/day + $0.69 per mile.

2) Rental Car A: $27.99/day + $1.09 per mile.
Rental Car B: $33.99/day - $6 discount/day + $1.09 per mile

3) Rental Car A: $26.99/day + $0.89 per mile
Rental Car B: $30.99/day + $0.89 per mile

I'll post pictures :-)

Question

Cade is comparing rental car rates by analyzing the graphs of the appropriate linear systems. Use what you know about slopes, y-intercepts, and graph types to match each system on the left with the general form of its graph on the right.

1) Rental Car A: $24.99/day + $0.99 per mile.
     Rental Car B: $32.99/day + $0.69 per mile.

2) Rental Car A: $27.99/day + $1.09 per mile.
     Rental Car B: $33.99/day - $6 discount/day + $1.09 per mile

3) Rental Car A: $26.99/day + $0.89 per mile
     Rental Car B: $30.99/day + $0.89 per mile

I'll post pictures :-)

anonymous · Answer

4) Rental Car A: $49.99/day with unlimited miles
     Rental Car B: $38.99/day + $0.49 per mile

anonymous · Answer

hh

anonymous · Answer

Awwright, so we're graphing total cost as the dependent variable, based on the number of days past and miles driven. Do you think you can express this for each car?

anonymous · Answer

No

anonymous · Answer

I don't get how to do this.

anonymous · Answer

Alright, notice the cost per day. Since most of the graphs (all?) have mileage as the only independent variable, we can set the cost per day to be the y intercept, since we're only renting for one day. Remember the line y=mx+b? That b is the y intercept. Now, the slope is the cost per mile. That's m. Set the cost per mile to m. Get your equation.

anonymous · Answer

Not really :-(

anonymous · Answer

Directrix might be better at explaining. I'll defer to him. XD

directrix · Answer

Does anybody know if we're matching graphs with systems of equations?

anonymous · Answer

Yes you are lol

anonymous · Answer

I just don't know how to do it in this way.

directrix · Answer

Let me think. It seems we need to compare slopes.

anonymous · Answer

Yeah and maybe x/y intercepts?

anonymous · Answer

Actually, Directrix, the plots are only of cost vs. mileage.

anonymous · Answer

The cost per day of buying the car is reduced to one day of ownership, I think, as a safe assumption. So the base cost is the y intercept. We have a simple linear system.

directrix · Answer

4) Rental Car A: $49.99/day with unlimited miles
     Rental Car B: $38.99/day + $0.49 per mile

goes with the image that shows a horizontal line as one of the two lines graphed.

I think it's image 12. Look and see.

anonymous · Answer

Yeah it's 12 :-)

directrix · Answer

@ Br-Baby --> Sorry the site crashed just as a solution was in sight.

1. Image 11
2. Image 9
3. Image 10
4. Image 12

Let me know when you're on again, and I'll explain if you like.