A souvenir store charges PHP 15.00 per keychain for orders amounting 50 or fewer keychains, PHP 12.50 per keychains for orders of 75 or fewer but more than 50 kechains. Which function best represents the cost K(x) of the x number of keychains.

hi. i hope you can help me and i hope you'll also show the solution, i really need a solution so I can understand how did you get your answer. thank you po.

K(x) =

15.00x for x <= 50
12.50x for 50 < x <= 75

Apparently you had some choices, but they're not here.

I got my answer by reading the text provided. How else?

Thanks

Sure! I'd be happy to help you with this problem.

To determine the cost function, we'll need to look at the given information:

- For orders amounting to 50 or fewer keychains, the cost is PHP 15.00 per keychain.
- For orders of 75 or fewer but more than 50 keychains, the cost is PHP 12.50 per keychain.

From this, we can establish the following cost ranges:
- For orders of 0 to 50 keychains (inclusive), the cost is PHP 15.00 per keychain.
- For orders of 51 to 75 keychains (inclusive), the cost is PHP 12.50 per keychain.
- And for orders greater than 75 keychains, we don't have any specific information, so we'll assume the cost is the same as for 75 keychains.

Now, let's break down the cost function into steps:

Step 1: If the number of keychains (x) is 0 to 50 (inclusive), the cost is PHP 15.00 per keychain.
So, for this step, we can represent the cost function as:
K(x) = 15.00 * x

Step 2: If the number of keychains (x) is 51 to 75 (inclusive), the cost is PHP 12.50 per keychain.
So, for this step, we can represent the cost function as:
K(x) = 12.50 * x

Step 3: If the number of keychains (x) is greater than 75, we assume the cost is the same as for 75 keychains.
So, for this step, we can represent the cost function as:
K(x) = 12.50 * 75

Combining all the steps together, the cost function K(x) would be:
K(x) = 15.00 * x (for x ≤ 50)
K(x) = 12.50 * x (for 50 < x ≤ 75)
K(x) = 12.50 * 75 (for x > 75)

I hope this helps! Let me know if there's anything else I can assist you with.

Hi! I can definitely help you with that. To find the function that represents the cost K(x) of the x number of keychains, we need to analyze the given information.

From the given information, we have two different prices:
- PHP 15.00 per keychain for orders amounting to 50 or fewer keychains
- PHP 12.50 per keychain for orders of 75 or fewer but more than 50 keychains

Let's break down the calculations step-by-step:

1. For orders amounting to 50 or fewer keychains:
The price per keychain is PHP 15.00. So, the cost K(x) for this range can be represented as:
K(x) = 15.00 * x

2. For orders of 75 or fewer but more than 50 keychains:
The price per keychain is PHP 12.50. So, the cost K(x) for this range can be represented as:
K(x) = 12.50 * x

To create a single function that combines both ranges, we can introduce an "if-else" condition based on the value of x:

- If x is 50 or fewer, we use the first equation:
K(x) = 15.00 * x

- If x is more than 50 and 75 or fewer, we use the second equation:
K(x) = 12.50 * x

Combining both cases in a single function, we can write:
K(x) = 15.00 * x, if x ≤ 50
K(x) = 12.50 * x, if 50 < x ≤ 75

This function represents the cost K(x) of the x number of keychains based on the given pricing structure.