an aquarium at sea world is 10ft long, 3ft wide, and is filled with water to a depth of 7ft. water weighs 62.4 pounds per cubic
2 answers:
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Answer:
<u>After (3/2) months Tyler's gym would be a better deal.</u>
Step-by-step explanation:
Let x the number of months
Cody's Gym charges a $15 fee to join and $30 per month
y₁= 15 + 30x (1)
Tyler's Gym charges a $30 fee to join and $20 per month
y₂ = 15 + 30x (2)
See the attached figure which represent the graph of y₁ (with blue color) and y₂ (with red color)
The point of intersection between y₁ and y₂ is ( 3/2 , 60)
After 3/2 months Tyler's Gym charges will be less than Cody's Gym charges
So, the inequality will be:
<u>After (3/2) months Tyler's gym would be a better deal.</u>
Answer:
a) number of tickets she could buy in a month with her allowance in 2008 = 4 tickets
b) number of tickets she could buy in a month with the same allowance in 2012 = 2 tickets
c) $5, an increase of 55.56%
d) $2, a 100% increase.
e) Hallie was able to buy more tickets in 2008 than in 2012.
f) $16
Step-by-step explanation:
The complete question is presented in the attached image to this answer.
a) Halie's allowance monthly = $9
Price of a ticket in 2008 = $2
number of tickets she could buy in a month with her allowance = (9/2) = 4.5 = 4 tickets (since there are no half tickets)
b) Halie's allowance monthly = $9
Price of a ticket in 2012 = $4
number of tickets she could buy in a month with her allowance = (9/4) = 2.25 = 2 tickets (since there are no quarter tickets)
c) In 2012, Hallie's allowance was $14.00 per month. How much did her monthly allowance increase between 2008 and 2012?
Her monthly allowance in 2008 = $9
Her monthly allowance in 2012 = $14
The increase = new allowance - old allowance = 14 - 9 = $5
In percentage terms,
% increase = 100% × (new - old)/(old)
% increase = 100% × (14 - 9)/9 = 55.56%
d) How much more did a carnival ticket cost in 2012 than it did in 2008?
Price of a ticket on 2008 = $2
Price of a ticket in 2012 = $4
Increase in price = 4 - 2 = $2
% increase = 100% × (4 - 2)/2 = 100%
e) Was Hallie able to buy more carnival tickets in 2008 or in 2012 with one month's allowance?
Hallie was able to buy more tickets in 2008 than in 2012.
f) What would Hallie's allowance need to be in 2012 in order for her to be able to buy as many carnival tickets as she could in 2008?
Hallie could buy 4 tickets in 2008.
Price of a ticket in 2012 = $4.
Price of 4 tickets in 2012 = 4 × $4 = $16
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