Answer: C
Step-by-step explanation:
450 is her initial value
225 is her rate of change or constant rate
Answer:
1400
Step-by-step explanation:
Given: Cost of Regular ticket = $9.50
Cost of Matinee tickets= $7
Total number of people= 5000
Total spending in watching movie= $44000.
Lets assume total number of people attended matinee be "x".
∴ Number of people attended Regualr show=
We know, total cost=
Now, forming an equation to show total spending on tickets.
⇒
Using distributive property of multiplication to multiply 9.50 with 5000 and -x.
⇒
⇒
Adding both side by 2.5x
⇒
subtracting both side by 44000
⇒
Dividing both side by 2.5
⇒
∴
Hence, number of people attended the matinee show are 1400.
Answer:
hi how do you buy that it is not cool
Step-by-step explanation:
really i like among us
Answer:
x = 7/2 ±sqrt(65)/ 2
Step-by-step explanation:
x^2=7x+4
Subtract 7x from each side
x^2-7x=7x-7x+4
x^2 -7x =4
Complete the square
Take the coefficient of x and divide by 2
-7/2
Then square it
(-7/2)^2 = 49/4
Add this to each side
x^2 -7x +49/4 =4+49/4
(x-7/2)^2 = 4 +49/4
(x-7/2)^2 = 16/4 +49/4
(x-7/2)^2 =65/4
Take the square root of each side
sqrt((x-7/2)^2) =±sqrt(65/4)
x-7/2 = ±sqrt(65)/ sqrt(4)
x-7/2 = ±sqrt(65)/ 2
Add 7/2 to each side
x-7/2 +7/2=7/2 ±sqrt(65)/ 2
x = 7/2 ±sqrt(65)/ 2
Answer:
58 passengers
Step-by-step explanation:
Capacity of the cruise ship = 68 people
Minimum number for an excursion = 46 people
Maximum cost per person = $ 70
Let the additional passenger = y
y minimum =1
y maximum = 68- 46
= 22
y can be represented in the inequality below:
1 ≤ y ≤ 22
New ticket cost of excursion for every added passenger = (70-y)
Total passengers = (46+y)
Income (I) = (70-y) (46+y)
= 3220 + 70y -46y - y²
= 3220 +24y -y²------------------------------- (1)
To maximize the income function I (y) in equation (1), dI/dy =0 , and (1) becomes :
24-2y = 0
2y = 24
y =12
So the total number of passengers that maximizes income is :
= (46+y)
= (46+12
= 58 passengers