Question 1199969: car rental company offers two plans for renting a car:
Plan A: 30 dollars per day and 18 cents per mile
Plan B: 50 dollars per day with free unlimited mileage
For what range of miles will plan B save you money for a 1 day rental?
To save money the mileage must be greater than__miles per day.
Answer by math_tutor2020(3816)   (Show Source):
You can put this solution on YOUR website!
x = number of miles driven
y = total cost in dollars
Plan A:
y = 0.18x+30
Plan B:
y = 50
The variable x is not involved with the cost equation of plan B, since there's unlimited mileage.
You drive as much as you want and pay the same flat rate of $50.
Use substitution to solve for x.
y = 50
0.18x+30 = 50
0.18x = 50-30
0.18x = 20
x = 20/(0.18)
x = 111.111111111111
That value is approximate.
If you drove 111 miles, then plan A costs
y = 0.18*x+30
y = 0.18*111+30
y = 49.98
Meaning that plan A is the cheaper option for this mileage.
But if you drove 112 miles, then plan A costs
y = 0.18*x+30
y = 0.18*112+30
y = 50.16
Showing that plan B is now the better choice.
To save money with plan B, the mileage must be greater than 111 miles per day
In other words, the mileage must be 112,113,114,etc if the mileage is an integer.
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