This is a linear function y=mx + b
If x = 0 then y=b, if A is the point where y intercepts y-axis, the coordinates of
A(0,b)
If you want to shift the graph up by 2 units, then you have to add 2 units to b
In our case original b=7, =so to shift it up, b becomes 7+2=9
and the new function will be y=2x + 9
I believe eleven in total
1/6 5/6 4/5 3/5 2/5 1/5 3/4 1/4 2/3 1/3 1/2
10,634.4 total cost
2954t t=3.6h. 2954 x 3.6 = 10,634.4 total cost
So here's the solution to the problem:
Calculate the average sell:
1,700 * $25 = $42,500 (revenue)
And if the Opera House wants to increase their revenue:
The price of a ticket will be:
$25 - x (where x is the number of 1-dollar decreases)
The number of tickets in total:
1,700 + 200x
Therefore the equation is:
(1,700 +200x) * ( 25 - x ) = 55,000
We can also solve this equation, but the solutions are not whole numbers.
x 1 = 5.89 and x 2 =10.6
For x = 6 (6 times 1 - dollar decreases):
( 1,700 + 200 * 6 ) * ( 25 - 6 ) = ( 1,700 + 1,200 ) * 18
=2,900 *19 = 55,100 (we will yield the revenue over $55,000)