64% is what of 75 tiles
1 answer:
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Answer:
g(x) =
Step-by-step explanation:
This problem may seem tricky at first, but after you understand the basic concepts about vertical stretches and vertical shrinks, this problem will become much simpler. Additionally, if you use the online tool: DESMOS, you will be able visualize things better.
First, you may notice the graph is more narrow than the original "f(x)" graph. This means that the g(x) graph is a vertical shrink. A vertical shrink can be achieved by adding a whole-number as a coefficient to the "" formula. Adding a coefficient of "5" would result in coordinates like (1,5), just like adding a coefficient of "2" for example would result in coordinates like (1,2).
The slope formula is the difference of the y values over the difference in the x values. We have a slope, so we will fill in the formula with what we have and then solve for x: 
. Multiply both sides by x-10 to get rid of the fraction. -2(x-10) = 4. Distribute to get -2x+20=4 and -2x = -16. That gives us an x value of 8.
so the company has an overhead of $600, usually that involves premises leasing and industrial equipment for the manufacturing of the product, that's cost. The cost to make each item is 50 cents, so if the company produces "x" items, their cost is 0.5x total.
so our cost equation C(x) = 0.5x + 600 <---- items' cost plus overhead.
the company sells the product for 85 cents, so if they sell "x" items, their total revenue or income will be 0.85x.
so our revenue equation is simply R(x) = 0.85x.
as you already know, the break-even point is when.... well, you break even, no losses but no gains either, how much you take in is the same amount that you shelled out, namely R(x) = C(x).