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The system of equations below shows the rental costs (y), in dollars, for renting a kayak for x

hours from two diffemt rental companies.
y= 25x + 250
y= 50x + 150
For what number of hours will the rental cost be the same for both companies?

User Kimi Chiu
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2 Answers

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Final answer:

The rental cost will be the same for both companies at 4 hours.

Step-by-step explanation:

To find the number of hours at which the rental cost will be the same for both companies, we need to set the expressions for the rental costs equal to each other:

25x + 250 = 50x + 150

Subtracting 25x and 150 from both sides gives:

100 = 25x

Dividing both sides by 25 gives:

4 = x

Therefore, the rental cost will be the same for both companies at 4 hours.

User Junkystu
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4.2k points
2 votes
I think you set both equations to equal each other then solve for x. So it would look like 25x+250=50x+150
Then solve for x
User Jugal Shah
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