Gina is deciding between two new cars. The non-hybrid model she likes costs $14,000 plus $0.22 per mile. The hybrid model she likes costs $24,000 plus $0.13 per mile. She plans to buy another new car when the odometer reaches 80,000 miles. Graph the system of linear equations to determine which car is a better financial choice.

Question

anonymous · Answer

And these are the choices--> 

The hybrid vehicle is a better value.

 The standard vehicle is a better value.

 Either − after that amount of time, she will have spent the same amount.

 Not enough information.

amistre64 · Answer

14000 + .22x = v

24000 + .13x = v

amistre64 · Answer

the real question is whats the v value at 80000

anonymous · Answer

So whats the first step? I'm kinda suckish at math.

amistre64 · Answer

the first step is to write out 2 equation that will give you the value spent per mile.... like i did.

you can then plot these points on a graph of make a table....but the real quaestion is what is the value after 80000 miles.

So just plug in 80000 for x in each of them to see which costs more

anonymous · Answer

Alright. Lemme see...

anonymous · Answer

14000 + .22(80000) =
24000 + .13(80000) =

anonymous · Answer

darn it. Forgot to put in the answers...

amistre64 · Answer

:)

anonymous · Answer

14000 + .22(80000) = 31600
24000 + .13(80000) = 34400

anonymous · Answer

Is that what you meant?

amistre64 · Answer

thats the values i get as well; the cheaper one is the answer.....

anonymous · Answer

The non-hybrid. Thank you so much for the help! ;D