The rental cost (y) in dollars for renting a kayak for (x) hours from two
different companies is represented by the system y = 25x + 250 and y =
50x + 150. For what number of hours will the rental cost be the same for
both companies? Explain what you did to find your answer. *

4 hours

Step-by-step explanation:

We want to find at what x value, will y be the same for both companies. To do this, we can set the two expressions equal to each other.

25x+250=50x+150

To solve, we have to get all the variables to one side of the equation, and all the numbers to the other

Subtract 25x from both sides

250=25x+150

Subtract 150 from both sides

100=25x

Now, we have all the variables on one side, and the numbers on the other.

To isolate the variable, divide by 25

x=4

So, at 4 hours,the cost will be the same

Hope this helps! :)

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