Answer:
Price of a senior citizen ticket is $4 and price of a student ticket is $15 .
Step-by-step explanation:
Let us assume that the price a senior citizen ticket be x .
Let us assume that the price a student citizen ticket be y .
As given
The school that Jack goes to is selling tickets to a choral performance.
On the first day of ticket sales the school sold 9 senior citizen tickets and 8 student tickets for a total of $156.
Equtaions becomes
9x + 8y = 156
As given
The school took in $163 on the second day by selling 7 senior citizen tickets and 9 student tickets.
Equations becomes
7x + 9y = 163
Multipy 9x + 8y = 156 by 9 .
81x + 72y = 1404
Multiply 7x + 9y = 163 by 8 .
56x + 72y = 1304
Subtracted 56x + 72y = 1304 from 81x + 72y = 1404 .
81x - 56x + 72y - 72y = 1404 - 1304
25x = 100
x = $ 4
Putting value of x in the 56x + 72y = 1304 .
56 × 4 + 72y = 1304
224 + 72y = 1304
72y = 1304 - 224
72y = 1080
y = $15
Therefore the price of a senior citizen ticket is $4 and price of a student ticket is $15 .
7% of $9,200 is $644. Add $800 + $644 to get $1,444
ANSWER:
$1,444
From 8.30 pm to 12 : 00
Difference = 12 : 00 - 08:30 = 3 : 30
3 hours 30 minutes = 3.5 hours.
Total for those hours = 3.5 * 1000 = $3500
From 12:00 to 1:00 am = 1 hour.
50% increase = 50% of 1000 = .50 * 1000 = 500
So it will increase to 1000 + 500 = $1500 per hour.
For the 1 hour extra, 1 * 1500 = $1500
Total = $3500 + $1500 = $5000
She will be paid $5000
Answer:
Yes it is absolutely right.
Answer:
An equation that represents the data would be y=2.75x+137.50. The y-intercept of the graph is 137.50, which represents the base cost of a boat rental. The slope of the graph is 2.75, which represents the rate, or cost per person. If we use this equation to solve for the cost of boat rental for 75 people, we would get a total of $343.75. A reason the marina might charge more for 75 people could be the need for a second boat and/or additional workers to handle the additional guests.
Step-by-step explanation:
The problem gives you four sets of ordered pairs: (10, 165); (20, 192.50); (35, 233.75) and (50, 275). Using these ordered pairs, you can either make a table, or use slope formula with two points to determine the rate of change. For example, (192.50-165)/(20-10)= 2.75, which represents the slope or cost per person. To find the y-intercept, or base cost to rent the boat, subtract the cost for 10 people ($27.50) from the $165 rental charge to get $137.50. In order to find the cost for 75 people, you would plug in 75 for the variable 'x' and solve for 'y', which gives us $343.75. Since the actual cost is different, we have to assume that there are additional fees associated with a certain number of people.
