Prestige Car Rentals charges $44 per day plus 6 cents per mile to rent a mid-sized vehicle. Gateway Auto charges $35 per day plu
s 9 cents per mile for the same car. For what number of miles will both companies charge the same price?
2 answers:
Make two equations from the information. Then graph them and see where they intersect. The answer is 62 miles. Plug 62 back into both equations and they should both be the same number.
Answer:
300 miles.
Step-by-step explanation:
Prestige car rentals charges $44 per day plus 6 cents per mile
Let the distance will be covered by both = x miles
equation will be = 44+$0.06x ---(1)
Gateway Auto charges $35 per day plus 9 cents per mile.
35 + $0.09x-------- (2)
The number of miles will both companies charge the same price
44 + 0.06x = 35 + 0.09x
44 = 35 + 0.09x - 0.06x
44 = 35 + 0.03x
44 - 35 = 0.03x
9 = 0.03x
x =
x = 300 miles
on 300 miles both companies charges the same price.
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Answer and Explanation:
Since this is a 30-60-90 triangle, you can use the ratio of side lengths specific to this type of triangle:
x = 4√(2)
y = 2(4) = 8
because where 4 = T,
x = T√2 and y = 2T
so again: