Question

Hybrid vehicle: Purchase price=$29,500 Mileage rating= 28miles per gallon Tax credit=$2,200
Non hybrid: Purchase price=$25,000 Mileage rating=20miles per gallon Tax credit=none.
If the average price of the gas will be $1.95 per gallon, how many miles of driving will it take before fuel savings of the hybrid will make up for it greater initial lost.

Answer 1

Try to mention any one to call like @ash2326 @amistre64 @satellite73 @jhonyy9 :)

Answer 2

mention any one for help:)

Answer 3

how to do that? just send message to them?

Answer 4

nope, just @ followed by the user name. like this @nia_maepenix
BTW I'll help you with this

Answer 5

thanks a lot. I'm kinda new here

Answer 6

Let x be the no. of miles traveled, at which the hybrid fuel savings make up for the greater cost

Answer 7

yes

Answer 8

from whom do u want help
type there name & just add @ before there name ;)

Answer 9

the cost of the hybrid is \(\$29,500- \$2,200=\$27,300\) and the cost of the non-hybrid is \(\$25,000\) so the hybrid cost \(\$27,300-\$25,000=\$2,300\) more

Answer 10

cost-tax=?

Answer 11

tax CREDIT

Answer 12

so the answer is2,300?the lost

Answer 13

@ash2326 can u finish your explanation too?

Answer 14

the \($2,300\) is how much more the hybrid cost
we are not done yet by any means

Answer 15

thanks satelite73

Answer 16

we have to figure out how many miles we have to go before the fuel savings makes up for the extra \($2,300\) we spent on the hybrid

Answer 17

yes

Answer 18

so 2300/1.95?

Answer 19

oh no hold on a sec

Answer 20

ok... thanks a lot

Answer 21

lets imagine we go 280 miles
in the hybrid we would use \(280\div28=10\) gallons of gas at a cost of \(10\times 1.95=19.5\) dollars
in the non hybrid we would use \(280\div 20=14\) gallons of gas at a cost of \(14\times 1.95=27.3\) dollars which is obviously more expensive. by how much? by \(27.3-19.5=7.80\)

Answer 22

so we need to have exact miles so we can figure out how much is lost?

Answer 23

we want to know when this difference will equal 2,300 so we need to introduce a variable
lets say \(x\) is the number of miles we drive
then in the hybrid will we use \(\frac{x}{28}\) gallons of gas at a cost of \(1.95\times \frac{x}{28}\) and in the non hybrid we will use \(\frac{x}{20}\) gallons of gas at a cost of \(1.95\frac{x}{20}\)

Answer 24

hybrid is 1.95/28x and non is 1.95/20x

Answer 25

our job is to solve
\[1.95\times \frac{x}{20}-19.5\times \frac{x}{28}=2,300\]

Answer 26

typo there, should be
\[1.95\times \frac{x}{20}-1.95\times \frac{x}{28}=2,300\]

Answer 27

we can do it as follows
\[1.95(\frac{x}{20}-\frac{x}{28})=2,300\]
\[1.95(\frac{28x-20x}{20\times 28})=2,300\]
\[\frac{8x}{560}=2,300\div 1.95=1179.5\] rounded
\[\frac{x}{70}=1179.5\]
\[x=1179.5\times 70\]

Answer 28

so the lost is 82565?

Answer 29

i don't know i didn't multiply

Answer 30

i think divide

Answer 31

1179.5/70

Answer 32

but before i do i hope it is clear what i did
i was not sure what equation i needed to solve, so i did it with numbers to see how it worked
that is why i wrote the first post about driving 280 miles

Answer 33

multiply don't divide

Answer 34

yeah i get it

Answer 35

you have \(\frac{x}{70}=1179.5\) so \(x=1179.5\times 70=82565\)

Answer 36

let me check to see if this looks right

Answer 37

thanks. this is the lost?

Answer 38

?

Answer 39

miles of driving will it take before fuel savings of the hybrid will make up for it greater initial lost is 82565