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dimulka [17.4K]
3 years ago
12

Bananas are $0.59/pounds.  What is the constant of proportionality?

Mathematics
2 answers:
In-s [12.5K]3 years ago
3 0
The constant proportionality is the proportionality of 59. Because it is the price, you just move the decimal point two places over to the left.
If you do this correctly you will get .59
laila [671]3 years ago
3 0

For this case, the first thing we must do is define variables.

We have then:

x: amount of weight in pounds

y: total cost of bananas.

The equation that models the problem is:

y = 0.59x

We observe that the relationship is linear. Therefore, the variables are proportional.

The proportionality constant is:

k = 0.59

Answer:

the constant of proportionality is:

k = 0.59

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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This discussion tells you ...

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The function has a limit at a point if approaching from the left and approaching from the right have you approaching that same point.

Consider the point (1, 2). The graph is a solid line through that point. Approaching from values less than x=1, we get to the same point (1, 2) as when we approach from values greater than x=1.

Similarly, consider the point (2, 3). Approaching from values of x less than 2, we get to the same point (2, 3) as when we approach from x-values greater than 2. The limit at x=2 is 3. The only difference from the previous case is that the function is not actually defined to be that value there.

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Now consider what happens at x=0. When we approach from the left, we approach the point (0, 4). When we approach from the right, we approach the point (0, 1). These are different points. Because they are different coming from the left and from the right, we say "the limit as x→0 does not exist."

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In summary, ...

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<em>Additional comment</em>

The significance of the function not being defined at a point where the limit exists, (2, 3), is that <em>the function is not continuous there</em>. This kind of discontinuity is called "removable", because we could make the function continuous at x=2 by defining f(2) = 3 (that is, "filling the hole").

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