Math Help , Oh snap.

jspeicher

Golden Member
Apr 9, 2003
1,904
0
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Residents are connected to a water supply and are billed a fixed amount yearly plus a charge for each cubic foot of water used.

A household using 1000 cubic feet is billed $90
A household using 1600 cubic feet is billed $105

a) What is charge per cubic foot?
The yearly charge would cancel since they are the same, so don't I just find the slope to find the charge per cubic foot?

b) Write an equation for the total cost of a resident's water as a function of cubic feet of water used.
This would be a linear line correct?

Don't need direct answers, just some help in the right direction.
 

birdpup

Banned
May 7, 2005
746
0
0
These are two points on a graph.
X = cubic feet
Y = $

Draw the graph and see it visually.
Then find the appropriate formula to verify your visual results.

EDIT:
I was thinking more like
m = (Y2 - Y1) / (X2 - X1)

Y = mX + b

point-slope form
Y2 - Y1 = m * (X2 - X1)

but the two-equation style used by the others also works well.
 

yobarman

Lifer
Jan 11, 2001
11,642
1
0
1000x + y = 90
1600x + y = 105

y = 90 - 1000x
y = 105 - 1600x

105 - 1600x = 90 - 1000x

15 = 600x

x = .025
y = 65