To solve this problem you must apply the proccedure shown below:
1. You have that 
varies jointly as 
and 
and inversely as the product of 
and 
. Therefore, you can write the following equation, where 
is the constant of proportionality:
2. Now, you must solve for the constant of proportionality, as following:
3. Susbtiute values:
4. Substitute the value of the constant of proportionality into the equation:
The answer is:
The price for each instructor will be the same at 3 hours. How I determined this answer:
First off, you need to add the initial price and hourly price for each person together, so you already know how much it will cost for 1 hour, including the initial fee. Here's how you do it:
Ieda: $11.00 (hourly price) + $8.50 (initial fee) = $19.50 (for 1 hour)
Thanh: $10.50 (hourly price) + $10.00 (initial fee) = $20.50 (for 1 hour)
Now that you have the price for 1 hour including the initial fee, now you need to find the price for each hour after that. Here's how I did that:
I created a graph that looked like this:
Hours: 1 2 3
Ieda: 19.50 30.50 41.50
Thanh: 20.50 31.00 41.50
Here's how I figured out the price for each hour:
Ieda:
Hour 1 (including initial price):
$11.00 + $8.50 = $19.50
Hour 2 (excluding initial price): Only add the hourly price after Hour 1!
$19.50 + $11.00 = $30.50
Hour 3 (excluding initial price):
$30.50 + $11.00 = $41.50
Thanh:
Hour 1 (including initial price):
$10.50 + $10.00 = $20.50
Hour 2 (excluding initial price):
$20.50 + $10.50 = $31.00
Hour 3 (excluding initial price):
$31.00 + $10.50 = $41.50
So, looking at the graph, their prices are the same once each instruction reaches 3 hours. ($41.50)
I hope I was able to help you! :)
Answer:
x + y ≤
3x + 5y ≥ 1100
Step-by-step explanation:
Given:
Seating capacity of theater = 250
Cost of each child ticket = $3
Cost of each adult ticket = $5
Cost per performance = $1100 at least
Find:
System of inequalities
Computation:
Let;
x = Number of children's tickets
y = Number of adult tickets
So
x + y ≤
3x + 5y ≥ 1100
The answer is sometimes.
If the graph is linear, it would be a line, for example:
y = 2x - 5
If the graph is quadratic, it would be a curve, for example:
y = x^2 - 5x + 6
