Respuesta :
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 [tex]y \propto x[/tex] 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;
⇒ [tex]135= k( 4)[/tex]
Solve for k:
[tex]k = \frac{135}{4} = \$ 33.75[/tex] per hour
Now, for 6 hours he charges $ 202.50, by using direct variation.
⇒ [tex]202.50 = k(6)[/tex]
Now, solve for above k: we have
[tex]k = \frac{202.50}{6} = \$ 33.75[/tex] 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 :
[tex]\frac{135}{4}=\frac{202.5}{6}[/tex]
But we need to find the hourly rate which will be
[tex]\frac{135}{4}=\$33.75[/tex]
Hence, hourly rate of rent a snowmobile is $ 33.75.
