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The cost of producing 390 calculators is $3100. Producing 490 calculators would cost $3700. Assuming the total cost is a linear function, write an equation for the cost of producing x calculators?

1 Answer

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Answer:

y = 6x + 760

Explanation:

In the problem you are given two pairs of numbers. These are both a pair of inputs and outputs, (x, y):

(390, 3100) also,

(490, 3700)

Write an equation by finding and filling in m and b in the following equation:

y = mx + b

To find m, which is the slope of the line, subtract y-y and put that on top. Then subtract x-x and put that on the bottom. See image.

Next, find b by use EITHER pair of numbers to find b.

I used (390, 3100).

see image.

m = 6 and b = 760

Fill these into

y= mx + b

y = 6x + 760

In case they ask, this means each calculator takes $6 to make and it costs $760 to set up your operation even before you have made any calculators.

The cost of producing 390 calculators is $3100. Producing 490 calculators would cost-example-1
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