Question

4. A media company is going to install cable from a
house to their connection box B.  The house is
located at one end of a driveway 7 miles back from a
road (see diagram).  The other end of the
driveway and the nearest connection box are
on the same road, 25 miles apart.  The cost of
installing the cable is $656 per mile off the road and
$375 per mile along the road.   
Let x be the distance from where the driveway meets the road to where the cable comes to the road.    
(a) Develop a function C(x)  that expresses the total installation cost as a function of x

Answer 1

yes a diagram would be nice

Answer 2

heres a diagram

Answer 3

really want to do this? it is possible

Answer 4

\[C(x)=375(25-x)+656\sqrt{49+x^2}\]

Answer 5

now i suppose we have to find the minimum cost yes?

Answer 6

(b) Use your calculator to graph ܥ.  Use the graph to determine the value of ݔ that will produce the
minimum cost.  Round to the nearest thousandth of a mile.
(Tip:  use a window [0, 20, 1]  x  [ 12,000 ,  20,000 ,  1000 ].)
(c) State the minimum cost for that installation, rounded to the nearest cent.

Answer 7

you can do part b i don't have a graphing calculator

Answer 8

is this a calc class? we can solve it using calculus exactly

Answer 9

yes this is a pre-calc class n could you explain to me how you got this exactly

Answer 10

if it is pre-calc no

Answer 11

you have to graph and check that is the best you can do

Answer 12

graph
\[9375-375x+656\sqrt{49+x^2}\] and see if you can locate the lowest point on the curve

Answer 13

okay i will try that right now thanx soo much for the help

Answer 14

yw