Answer:
25% increase
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
3(2x−4)−5(x−2)=1
Step 1: Simplify both sides of the equation.
3(2x−4)−5(x−2)=1
(3)(2x)+(3)(−4)+(−5)(x)+(−5)(−2)=1(Distribute)
6x+−12+−5x+10=1
(6x+−5x)+(−12+10)=1(Combine Like Terms)
x+−2=1
x−2=1
Step 2: Add 2 to both sides.
x−2+2=1+2
x=3
Let the price of a ticket be originally T dollars, and the number of clients be N.
let the price decrease by x 3-dollars.
"there is an average increase of 4 people for every $3 decrease on the price of the ticket."
means:
if the price is decreased by 1-3$:
then N become N+4, and T becomes T-3
if the price is decreased by 2-3$:
then N become N+4+4=N+2*4, and T becomes T-3-3=T-2*3
So if the price is decrease by x-3 dollars:
N becomes N+4x, and T becomes T-3x
"A circus owner sells an average of 340 tickets when the price of a ticket is $75."
In this case N=340, and T=75$
If the owner does not change the price ticket, x=0, the revenue is 340*75,
If the owner decreases the price of the tickets by x-3$, then the revenue will be
(N+4x)(T-3x)=(340+4x)(75-3x) dollars,
If R is the function of the revenue depending on x, then
R(x)=(340+4x)(75-3x) dollars
Answer: R(x)=(340+4x)(75-3x) dollars
