SOLUTION: The Martins plan a 3-Week trip with a budget of $600 for renting a car. Car rental rates are $135/week plus $0.17/km. Write a formula to show the number of kilometers the Jacksons

Question 433140: The Martins plan a 3-Week trip with a budget of $600 for renting a car. Car rental rates are $135/week plus $0.17/km. Write a formula to show the number of kilometers the Jacksons can travel.
I have figured out the answer, but I know I should use d=rt; however, I'm not sure where to enter each number I've come up with. Here is what I have:
600 / 3 = 200, budget / # of weeks
200 � 135 = 65, per wk budget � weekly car cost = balance for mileage
65 / 0.17 = 382, per wk budget / cost per km = km per wk
382 * 3 = 1146, km per wk * # of wks = total km can travel
How do I get this in d=rt format? I'm so confused if I should even be using that formula anyhow. Thanks! Debi 4/8/11
Found 2 solutions by ewatrrr, solver91311:
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

Hi
The Martins plan a '3-Week' trip with a budget of $600 for renting a car.
Car rental rates are $135/week plus $0.17/km.
$600 = $135*3 + $0.17x where x is the number of km.
195/.17 = x = 1147.0588km
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Your analysis is spot on and the correct way to do the problem. The only thing I would do differently relates to your arithmetic. Km per week actually calculates out to about 382 and 1/3 km, so the total is closer to 1147 than it is to 1146. In the grand scheme of things, no big deal, but attention to detail does count in real life.

Using in the context of this problem is completely inappropriate. Remember what the variables mean: is distance, is rate (aka speed), and is time (as in the amount of time that the object is moving at the given rate). Distance is the answer you are trying to achieve, but you couldn't care less how fast they drive the car nor how much time the car was actually moving. The time units in play in your problem, namely weeks, are not related to the amount of time the car was actually moving. If they average only 40 km/hr (roughly 25 mph), they would be driving less than 10 hours out of 168 hours available in a week. See?

John

My calculator said it, I believe it, that settles it

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