*100 POINTS, WILL ALSO RECEIVE BRAINLIEST*
2 answers:
Part A: The x-intercept represents the maximum amount of profit the company makes depending on the price of erasers. The intervals would be the prices of the erasers, and they represent the correlation between sale and profit. For example, when each eraser costs $4, the company makes the max profit of $270.
Part B: The average rate of change would be $91.875 and the rate represents that, on average, for each dollar that the price of the eraser jumps, the profit jumps an average of $91.875.
Part C: The constraints of the domain would be things like how the price of the erasers cannot go less than $0 or above $8; 0 x
8.
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<u><em>Answer:</em></u>
1. Couples tickets: $8
Individual tickets: $4
2. Song download cost: $2
Movie download cost: $15
<u><em>Step-by-step explanation:</em></u>
You can solve both of these questions by doing system of equations.
Let's start with question 1.
There are 2 variables in this equation:
- Couples tickets price: let's represent these with the letter C
- Individual tickets price: let's represent these with the letter K
Writing the two equations would look this these:
5c + 2k = 48
3c + 2k = 32
Next, isolate a variable. I am going to isolate K in the first equation.
Now that we isolated a variable we can plug that back in to the second equation:
We found that c is equal to 8 so we can put that back in to an equation to solve for k.
5(8) + 2k = 48
40 + 2k = 48
2k = 8
k = 4
Therefore, the price for couples tickets is $8 and the price for individual tickets is $4.
<u><em>Check #1:</em></u>
5(8) + 2(4) = 48
40 + 8 = 48
48 = 48
3(8) + 2(4) = 32
24 + 8 = 32
32 + 32
Now, let's go on to question 2.
There are 2 variables in this equation:
- Price of songs downloaded: let's represent these with S
- Price of movies downloaded: let's represent these with M
Writing the two equations would look like this:
15s + 11m = 195
15s + 8m = 150
There is a simple way to answer this system, however.
If you change the bottom equations signs to negative you can minus the second equation from the first equation like this:
15s + 11m = 195
-(15s +8m = 150)
Minus them to get this equation:
3m = 45
Solve
m = 15
We have found that each movie download costs $15, now let's plug this back into an equation:
15s + 11(15) = 195
15s + 165 = 195
15s = 30
s = 2
Each song costs $2 to download.
<em><u>Check #2:</u></em>
15(2) + 11(15) = 195
30 + 165 = 195
195 = 195
15(2) + 8(15) = 150
30 + 120 = 150
150 = 150
<em>I hope this helps!!</em>
<em>- Kay :)</em>