Bruce rents snowmobiles to tourists. He charges $135 for 4 hours and $202.50 for 6 hours? What is the hourly rate Bruce charges to rent a snowmobile? Write a direct variation equation, then solve.

Answer:

The hourly rate Bruce charges is, $33.75

Step-by-step explanation:

Direct Variation states two variables that can be expressed by an equation in which one variable is equal to a constant times the other, or we can say that if one variable changes then the other changes in proportion to the other.

i.e or

y = kx where k is the constant.

Let x be the number of hours and y be the charges.

He charges $ 135 for 4 hours, by using direct variation;

⇒

Solve for k:

per hour

Now, for 6 hours he charges $ 202.50, by using direct variation.

⇒

Now, solve for above k: we have

per hour.

Therefore, the hourly rate Bruce charges to rent a snowmobile, k is, $ 33.75

Answer: Hourly rate of rent a snowmobile is $ 33.75.

Step-by-step explanation:

Since we have given that

Amount Bruce charges for 4 hours = $135

Amount Bruce charges for 6 hours = $ 202.50

Since there is direct variation, as with the increase in hours the cost will also increase.

So, it will be written like this :

But we need to find the hourly rate which will be

Hence, hourly rate of rent a snowmobile is $ 33.75.