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3 years ago

Help!!!! I really need help with this I don’t understand it!!!

Mathematics

1 answer:

Temka [501]3 years ago

6 0

9514 1404 393

Answer:

y = 5

Step-by-step explanation:

There are a number of ways to get there, but the short of it is that a horizontal line has the equation ...

y = constant

The constant value must be chosen to match the y-value of points on the line. Here, that is 5. The equation of the line is ...

y = 5

_____

<em>Another way</em>

You can write the equation in slope-intercept form if you know the slope and the y-intercept. The line crosses the y-axis at y = 5, so that is the value of the y-intercept.

The "rise" between the two points is 5 -5 = 0. The "run" between the two points is 5-0 = 5, so the slope is ...

m = rise/run = 0/5 = 0

Then the slope-intercept equation is ...

y = mx + b . . . . . where m is the slope and b is the y-intercept

y = 0x +5

Simplifying, we get ...

y = 5

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Answer:

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And for this case we can rewrite the model like this:

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Step-by-step explanation:

Part a

For this case we can assume the proportional model given by:

$\frac{dC}{dt} = rC$

And for this case we can rewrite the model like this:

$\frac{dC}{C} = r dt$

If we integrate both sides we got:

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So then our model would be given by:

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