How can you use direct variation to solve real life problems?
A good question
Suppose we have to pay up the parking bill at a mall
ON THE BILL BOARD IT SAYS |________|
|
|
| | | |_________
now what would you do
you would use direct variation
let me make a table
let x be the cost
|
hours parked __ cost
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Direct variation can be used to solve real-life problems by identifying situations where one quantity varies directly with another. In mathematical terms, this means that as one variable increases, the other variable also increases proportionally, or as one variable decreases, the other variable decreases proportionally. This relationship can be represented by the equation y = kx, where y is the dependent variable, x is the independent variable, and k is the constant of variation. By recognizing direct variation relationships in real-life scenarios, such as the relationship between distance and time traveled at a constant speed, or the relationship between cost and quantity purchased at a constant unit price, we can use direct variation to predict or calculate one quantity based on the other.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- In which quadrant does the point (0,0) lie?
- Is #-3x=2y=0# a direct variation equation and if so what is the constant?
- How do you graph #y=5x-5/2# using slope and intercept?
- Tommy averages one hit for each five times at bat. How do you use a direct variation formula to determine how many hits would be expected from Tommy after 20 times at bat?
- How do you find an equation of the line having the given slope and containing the given point: m=-2, (2,0)?
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