A car rental offers two options for renting a car. Plan A costs $200 per week plus $0.35 for each mile driven during that week. Plan B costs $180 per week plus $0.55 for each mile driven that week. How many miles of driving would result in both plans costing the same amount for that week

Answers

Answer 1

Answer:

100 miles

Step-by-step explanation:

Two plans are being offered for the renting of cars.

Plan A:

Cost per week = $200

Cost for each mile = $0.35

Plan B:

Cost per week = $180

Cost for each mile = $0.55

To find:

Number of miles for which the cost is same ?

Solution:

Let the number of miles driven so that the cost becomes the same = [tex]m[/tex] miles

First of all, let us find the cost for each plan as per [tex]m[/tex] miles.

Cost as per plan A = Cost per week + Cost for [tex]m[/tex] miles = $200 + $0.35[tex]m[/tex]

Cost as per plan B = Cost per week + Cost for [tex]m[/tex] miles = $180 + $0.55[tex]m[/tex]

Now, putting both the costs equal to find the value of [tex]m[/tex]:

[tex]200 +0.35m = 180 +0.55m\\\Rightarrow 20 = 0.20m\\\Rightarrow m = \bold{100\ miles}[/tex]

Therefore, after 100 miles the cost from each plan will be the same.


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