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m_a_m_a [10]
3 years ago
8

What is the slope of the line below ?

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
3 0

Slope is rise over run, change in y over change in x.  Here we have points (1,3) and (3,9)

\textrm{slope} = \dfrac{\textrm{change in y}}{\textrm{change in x}} = \dfrac{9-3}{3-1} = \dfrac{6}{2} = 3

Answer: 3

That's checked by verifying the line goes up 3 for one to the right.  It does.

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A population of butterflies grows in such a way that each generation is simply 1.5 times the previous generation. There were 350
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Answer:

378.5 or just 378

Step-by-step explanation:

This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by.  When x = 0, y = 350 so that's the y-intercept of our equation.)

The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.

Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.

If we want y when x = 19, plug 19 in for x and solve for y:

y = 1.5(19) + 350

y = 378.5

Since we can't have .5 of a butterfly we will round down to 378

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4 years ago
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Answer:

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Step-by-step explanation:

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