Let's find the derivative of that hyperbola in order to find a slope formula to help us with this equation. We already have an x and y value. The derivative is found this way: 
so 
. The derivative supplies us with the slope formula we need to write the equation. Sub in the x value of 3 to find what the slope is: 
. So in our slope-intercept equation, x = 3, y = 1, and m = -1/3. Use these values to solve for b. 
so b = 2. The equation, then, for the line tangent to that hyperbola at that given point is 
Lia, Phil, and Cam collect a total of 200.30 dollars for a holiday fundraiser. Phil collects 12.80 dollars more than Lia. Cam co
1 answer:
Answer:
Lia collects $ 37.5 , Phil collects $50.3 and Cam collects dollars $ 112.5 .
Step-by-step explanation:
Let us assume that the dollar collect by the Lia be x .
As given
Lia, Phil, and Cam collect a total of 200.30 dollars for a holiday fundraiser.
Phil collects 12.80 dollars more than Lia.
Phil collects dollars = 12.80 + x
As given
Cam collects 3 times as much as Lia.
Cam collects dollars = 3x
Than the equation becomes
x + 12.80 + x + 3x = 200.30
12.80 + 5x = 200.30
5x = 200.30 - 12.80
5x = 187.5
x = $ 37.5
Thus
Lia collects dollars = $ 37.5
Phil collects dollars = 12.80 + 37.5
= $50.3
Cam collects dollars = 3 × 37.5
= $ 112.5
Therefore the Lia collects $ 37.5 , Phil collects $50.3 and Cam collects dollars $ 112.5 .
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