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Eva8 [605]
3 years ago
8

Prestige car rentals charge $44 per day plus 6 cents per mile to rent a mid sized vehicle. Gateway auto charges $35 per day plus

9 cents per mile for the same car . For what number of miles both companies charge the same price
Mathematics
1 answer:
bulgar [2K]3 years ago
6 0

Answer:

300 miles

Step-by-step explanation:

Let

x ----> the number of miles

y ----> the total cost for rent a car

we know that

The equation of the line in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

<u><em>Prestige car rentals</em></u>

we have that

The slope is equal to m=\$0.06\ per\ mile

The y-intercept is b=\$44

therefore

y=0.06x+44 -----> equation A

<u><em>Gateway auto</em></u>

we have that

The slope is equal to m=\$0.09\ per\ mile

The y-intercept is b=\$35

therefore

y=0.09x+35 -----> equation B

For what number of miles both companies charge the same price>

Equate equation A and equation B

0.09x+35=0.06x+44

solve for x

0.09x-0.06x=44-35\\0.03x=9\\x=300\ miles

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