Write the equation of the line that has a slope of -1/2 and a y-intercept at (0,6).

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

7 0

Answer:

Step-by-step explanation:

Use the slope- intercept formula:

$y = mx + b$

where m = slope and b = y-intercept.

Since we are told the slope is -1/2, this means m = -1/2

We are also told the y-intercept is at (0, 6) this means b = 6

So now we have the equation:

y = -1/2x + 6

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Answer:

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2 years ago

The function P(x)equals0.35xnegative 76 models the relationship between the number of pretzels x that a certain vendor sells an

r-ruslan [8.4K]

Answer:

$P(X=700) =0.35*700 -76= 169$

Step-by-step explanation:

For this case we have the following profit function:

$P(X) = 0.35 X -76$

And we are interested on find the profit after selling 700 pretzels, so we just need to replace X=700 into the profit function like this:

$P(X=700) =0.35*700 -76= 169$

The profit function is on the figure attached. We see that for 0<X<217 we have negative profits, and for X>217 we will have positive values for the profit. And also we can see that for X=700 we have a profit of approximately 169.