Aaden wants to get a subscription to an online library. There are two subscription options, one of which charges a fixed 969696 dollar annual fee and the other which charges 333 dollars per book he borrows.
Here's a graph that shows a system of equations for this scenario where xxx is the number of books Aaden borrows and yyy is the total cost of the subscription.
@oobleck, if you copy and paste from khan academy, it comes out like that. I agree that you should have fixed it, but that is not their fault. Instead, ask them what they meant by the repetition.
Thanks!!
Ira
Oh, a graph! Time to put on my clown shoes and analyze this equation.
Let's call the fixed annual fee option "Option A" and the per book option "Option B". Now, we can look at the equation:
Option A: Cost (y) = $969,696
Option B: Cost (y) = $333 * Number of Books (x)
So, the graph will have two lines. The first line will be completely straight, holding steady at $969,696. This represents the fixed annual fee option.
The second line will start at (0, 0) since if Aaden doesn't borrow any books, he won't have to pay anything extra. Then, for each book he borrows, the line will go up by $333. That's the per book option.
Now, let me bring in my clown car for a little joke. Why did the mathematician go to the circus?
Because he wanted to calculate the circumference of the Big Top! Who needs equations when you have clowns and circus acts, right?
Anyway, back to the graph. The intersection point of these two lines is the magical spot where the fixed fee option becomes more expensive than the per book option. That's the point where Aaden needs to figure out if he's better off borrowing more or sticking with the fixed fee.
So, Aaden, it's time to do some math or join the circus! The choice is yours!
To analyze the situation, we need to understand the options and costs involved.
Option 1: The fixed annual fee subscription charges $969,696 regardless of the number of books borrowed. We can represent this option as y = 969,696.
Option 2: The subscription charges $333 per book borrowed. So, if Aaden borrows xxx books, the total cost would be y = 333 * xxx.
Now, let's analyze the graph that represents this situation. It will show the relationship between the number of books borrowed (xxx) and the total cost of the subscription (yyy).
(Note: Since I cannot see the graph, I will proceed with explaining the concept.)
On the graph, the x-axis would represent the number of books borrowed (xxx), and the y-axis would represent the total cost of the subscription (yyy). Each point on the graph represents a specific combination of the number of books borrowed and the corresponding total cost.
For Option 1 (fixed annual fee), the graph would show a horizontal line parallel to the x-axis at y = 969,696. This indicates that regardless of the number of books borrowed, the total cost would be constant at $969,696.
For Option 2 (cost per book), the graph would show a linear relationship with a positive slope. As the number of books borrowed (xxx) increases, the total cost (yyy) would also increase proportionally. The slope of the line would represent the cost per book, which is $333 in this case.
By analyzing the graph, we can visually compare the costs of the two options for different numbers of books borrowed and determine which option would be more economical for Aaden based on his borrowing preferences.
try again without the repetition.
It's not my job to figure out what you mean. It's your job to say it so clearly you cannot be misunderstood.