The slope of the line may be calculated by using the formula:
m = (y2 - y1)/(x2 - x1), where m is the slope, and (x1, y1) and (x2, y2) are two points on the line.
Using the points (0, -1) and (2, 4) shown, we can substitute these values into the formula above to get:
m = (y2 - y1)/(x2 - x1)
m = (4 - (-1))/(2 - 0)
m = 5/2
Therefor, the slope is 5/2.
Another way to think about the slope is in terms of rise/run, that is for a given interval that the x-value 'runs', by how much does the y value 'rise'?
Here, if we take the same two points (0, -1) and (2, 4), we can see that the x-value has moved 2 units, and the y-value has increased by 5 units. Thus:
if slope = rise/run, then the slope would be 5/2
Note that you should be careful when using this method if the y-value decreases as x increases; in this scenario, the 'rise' would be a negative value rather than a positive one
Given that can borrow up t 35% of his collateral at the pawnshop and John wants to use $3000 ring as a collateral for $1200 necklace, then the amount that he could borrow will be:
35/100×3000
=$1050
N= Number of visitors and $P = price $R = Revenue
<span>N = 50,000 - (P-15)*2500 </span>
<span>R = N*P = 50,000P -2,500P^2 + 15*2500P Answer (1) </span>
<span>R = 87,500P -2,500P^2 </span>
<span>dR/dP = 87,500 - 5000P = 0 for max </span>
<span>P = $17.50 for max revenue
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A=pi(c/2)^4=pi^2/c^216=(5pi)^2/8=25pi^2/8
