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.
statement
The weight in fourth grade was 75 pounds.
A percentage is a value that indicates hundredth part of any quantity.
To convert percentage into a fraction it is divided by 100.
Given that,
The present weight of the sixth grader is 90 pounds,
And, the percentage of present weight with respect to fourth grade is 120%.
Suppose his weight in fourth grade was x pounds.
Now, the given problem can be written in the form of expression as below,
120% of x = 90
⇒ (120 / 100) × x = 90
⇒ x = 90 × (100 / 120)
⇒ x = 90 × (5 / 6)
⇒ x = 75
Hence, the weight of the sixth grader in fourth grade was 75 pounds.
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