John sold 18 general admission tickets and 11 VIP tickets.
Step-by-step explanation:
Given,
Cost of each general admission = $50
Cost of each VIP ticket = $55
Total tickets sold = 29
Total revenue generated = $1505
Let,
x represent the number of general admission tickets sold
y represent the number of VIP tickets.
x+y=29 Eqn 1
50x+55y=1505 Eqn 2
Multiplying Eqn 1 by 50
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 5
Putting y=11 in Eqn 1
John sold 18 general admission tickets and 11 VIP tickets.
Keywords: linear equation, elimination method
Learn more about elimination method at:
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The mean absolute deviation will show us on average how far each of all the data points from the graph that Makayla collected are from the mean. To calculate it you simply have to use the formula shown in the attachment. It is very easy but will take you like 5 minutes to solve. Use it for each data set.
Data Set’s
Resting Heart Rate
Heart Rate After Walking One Mile
<span>I
hope this helps, Regards.</span>
Answer: y = (5832/25)*(5/18)^x
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Explanation:
Any general exponential function is of the form
y = a*b^x
Plug in (x,y) = (3,5) and we get
y = a*b^x
5 = a*b^3
If you plug in (x,y) = (2,18), then we'll get this other equation
18 = a*b^2
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So we have this system of equations
From here, we divide the two equations straight down. The left hand sides divide to 5/18. The right hand sides divide to (ab^3)/(ab^2) which simplifies to b. The 'a' terms cancel and we subtract the exponents for the b terms.
Overall, we end up with b = 5/18
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Use that value of b to find 'a'
18 = a*b^2
18 = a*(5/18)^2
18 = a*(25/324)
18*(324/25) = a
a = 5832/25
You could use the other equation as well to find 'a'
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Therefore, the equation in y = a*b^x form is y = (5832/25)*(5/18)^x
To verify this, plugging in x = 3 should lead to y = 5. Similarly, plugging in x = 2 should lead to y = 18.