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serg [7]
3 years ago
11

Melanie bought 3 adult tickets and 1 children ticket for $38. John bought 3 adult tickets and 2 children tickets for $52. What i

s the cost of each type of ticket
Mathematics
1 answer:
Vlad [161]3 years ago
8 0
If the cost of adult ticket is x and that of children ticket is y
Then 3x +y = $38
         3x+2y =$52, solving simultaneously
we subtract the two equation,
              -y = -14 
thus; y =14 
to get x we substitute y with 14
            3x = 38-14
              3x =24
                x =8
Therefore, the cost of 1 adult ticket is $8 while the cost of children ticket is $14
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Given, the equation that represents the height of an object:

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We will find the value of the function y(t) when t = 3, and when t = 3+h

\begin{gathered} y(3+h)=100(3+h)-16(3+h)^2 \\ y(3+h)=300+300h-16(9+6h+h^2) \\ y(3+h)=300+300h-144-96h-16h^2 \\ y(3+h)=156+4h-16h^2 \\ y(3)=100(3)-16(3)^2=156 \end{gathered}

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So, the answer will be:

\begin{gathered} \frac{dy}{dt}|_{t=3}=\lim_{h\to a}(4-16h) \\ a=0 \\  \\ \frac{dy}{dt}|_{t=3}=4\text{  ft/sec} \end{gathered}

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