Mia is deciding between two truck rental companies. Company A charges an initial fee of $100 for the rental plus $1.50 per mile driven. Company B charges an initial fee
of $40 for the rental plus $3 per mile driven. Let A represent the amount Company A
would charge if Mia drives a miles, and let B represent the amount Company B
would charge if Mia drives a miles. Write an equation for each situation, in terms of
2, and determine the interval of miles driven, x, for which Company A is cheaper
than Company B.
A=
BE
Company A is cheaper than Company B when x
Note: The interval will only apply
valid values of ac in the domain.
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Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.