Question 147226This question is from textbook INTERMEDIATE ALGEBRA
: Different-sized reantal trucks cost $19.99,$29.99,or $39.99 plus $0.10 per mile. Equations are for the total erntal cost,C, in dollars, for x miles driven.
(it says en Exerises 21-26, write the equations and tell whether the graphs would be parallel lines.)
This question is from textbook INTERMEDIATE ALGEBRA
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! Different-sized reantal trucks cost $19.99,$29.99,or $39.99 plus $0.10 per mile. Equations are for the total erntal cost,C, in dollars, for x miles driven.
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You basically have three different trucks that rent for a different cost:
If 'x' is "miles driven":
Then for the $19.99 truck:
C(x) = .10x + 19.99
.
Then for the $29.99 truck:
C(x) = .10x + 29.99
.
Then for the $39.99 truck:
C(x) = .10x + 39.99
.
Notice for each of the equations above, they are in the format of the "slope intercept" form of a line:
y = mx + b
where
m = slope
b = y-intercept
.
Notice that the "slope" (m) of each of the three equations are the same -- therefore, all three lines will be parallel.
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