a. Write the cost function:: C(x) = 100x + 100,000 where x is number of guitars
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b. Write the revenue function:: R(x) = 300x where x is number of guitars
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c. Find the profit function.
Profit = Revenue - Cost
P(x) = R(x) - C(x)
P(x) = [ R(x) ] - [ C(x) ]
P(x) = [ 300x ] - [ 100x+100,000 ]
P(x) = 300x - 100x-100,000
P(x) = 200x - 100,000
The break even point is when the profit is 0 dollars. You don't lose any money. And you don't gain any money.
Solve 125x - 100,000 = 0
125x = 100,000
x = 800 (# of guitars made and sold)
To solve this, create an equation that follows 45% of a value is 18. This would look like x*.45=18. Now, solve for x, x*.45=18, divide by .45, x=18/.45=40, making your value 40. To check, plug in your value to the equation 40*.45=18 and see if it stays true.
Same thing as before!
First, we can get rid of d(x) simply by looking at it because we can tell it's linear (it's a straight line). If we look at the table, we can see a(x) is also linear because it has a steady rate of growth. b(x) and c(x) both represent exponential growth. The curved shape of b(x) shows us this is exponential growth, and the exponent in c(x) tells us it's also exponential.
A histogram is a graphical representation of discrete or continuous data. To put it another way, it gives a visual representation of numerical data by displaying the amount of data points that fall within a given range of values.
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