A number is doubled and then increased by nine. The result is seventy-five. What is the original number?
2 answers:
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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
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
The y-intercept is
therefore
-----> equation A
<u><em>Gateway auto</em></u>
we have that
The slope is equal to
The y-intercept is
therefore
-----> equation B
For what number of miles both companies charge the same price>
Equate equation A and equation B
solve for x