Question

If the installation cost is $100 per mile along the road and $140 per mile off the road, express the total cost C of installation as a function of the distance x (in miles) from the connection box to the point where the cable installation turns off the road.

C(x)=

Compute the cost if x = 1 mile(s).
$___________

Compute the cost if x=3 mile(s).
$___________

Answer 1

here ya go~

Answer 2

and then i just plug in 1 & 3 in to x to get my 2 costs?

Answer 3

oh i didnt see that part >.< yes thats what you should do :)

Answer 4

ok cool! thanks!

Answer 5

ok it was incorrect so just to clarify : 140x^2-1300x+4600?

Answer 6

my handwritting is sloppy, my bad >.< the last number is 4660

Answer 7

ohh oh my bad. ok

Answer 8

yeah, that didnt work either. lol

Answer 9

hmm...maybe i went too fast, let me look at it one more time.

Answer 10

wow i made a really bad mistake lol. the hypotenuse of that right triangle should be:
\[\sqrt{x^{2}-10x+29}\]
i totally left out the square root >.< now i gotta recalculate stuff....

Answer 11

now the formula is going to look ugly, its going to be:
\[140\sqrt{x^{2}-10x+29}+100x\]

Answer 12

haha oh man. is the 100x under the sqrt or no?

Answer 13

nope, its outside.