# The cost of printing the school newspaper is $500 for 800 copies and $620 for 1200 copies. If the printing cost is a linear function of the copies printed, how do you find the cost of printing 1500 copies?

Cost of printing

This is a linear function, i.e obeys straight line equation:

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To find the linear function representing the printing cost, we first need to determine the rate of change, or slope, which is the change in cost divided by the change in the number of copies.

First, find the slope: Slope = (Change in cost) / (Change in number of copies) Slope = (620 - 500) / (1200 - 800) Slope = 120 / 400 Slope = 0.3

Now that we have the slope, we can use the point-slope form of a linear equation to find the cost of printing 1500 copies. Point-slope form: y - y1 = m(x - x1) Where: y = printing cost x = number of copies m = slope (x1, y1) is a point on the line.

We can use either of the given points (800, 500) or (1200, 620). Let's use (800, 500). y - 500 = 0.3(x - 800)

Now, substitute x = 1500 into the equation to find the cost of printing 1500 copies. y - 500 = 0.3(1500 - 800) y - 500 = 0.3(700) y - 500 = 210 y = 210 + 500 y = 710

Therefore, the cost of printing 1500 copies is $710.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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