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Anestetic [448]
3 years ago
7

There are 4 quarters in 1 dollar. The total number of dollars is a function of the number of quarters. Does this situation repre

sent a linear or nonlinear function? Explain why.
Mathematics
2 answers:
Lerok [7]3 years ago
8 0
A Linear function because the slope is constant.
If dollars represents the "y value" and quarters the "x value"
Then slope = rise/run = 1/4

y = \frac{1}{4} x
s344n2d4d5 [400]3 years ago
6 0

If you make a table of values, you can see that 4 quarters equal 1 dollar and 8 quarters equal 2 dollars. If you graph the data, you will see a straight line. Therefore, this situation represents a linear function with a constant rate of change of 1/4.

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Answer:

The solution set is the empty set.

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{x | x < 2} is the set of all numbers less than 2. This means x can take values such as 1.99, 0, -2000 and so on. That is, all values less than 2.

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Since there is no sign between the two sets, the question is asking for the intersection between these two sets. That is, what elements are common to these two sets? As we can see, the two sets don't have any common element. Hence, their intersection is the empty set.

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