A correction tape costs 30 pesos if you purchase lesser than five, and 25 pesos if you purchase five or more. Compute the price of 10 correction tape purchase. solve piecewise function

To determine the cost of purchasing 10 correction tapes, we can define a piecewise function based on the given pricing rules. Let's denote the number of correction tapes purchased as \( x \), and the cost as \( C(x) \).

The piecewise function can be expressed as:
\[ 
C(x) = \begin{cases} 
30x & \text{if } x < 5 \\
25x & \text{if } x \geq 5 
\end{cases}
\]

Since we are purchasing 10 correction tapes, we fall into the second case where \( x \geq 5 \).

Therefore, we use the function:
\[ C(x) = 25x \]

Substituting \( x = 10 \) into the function, we get:
\[ 
C(10) = 25 \times 10 
\]
\[ 
C(10) = 250 
\]

Thus, the total cost for purchasing 10 correction tapes is 250 pesos.

Would you like more details or have any questions?

Here are some related questions for further practice:

1. What is the cost of purchasing 4 correction tapes?
2. How much would 7 correction tapes cost?
3. If you bought 5 correction tapes and then 3 more, what would be the total cost?
4. Calculate the cost of purchasing 1 correction tape.
5. How much would it cost to buy 15 correction tapes?
6. Determine the cost of 20 correction tapes.
7. If the price per tape for purchases of 10 or more was reduced to 20 pesos, what would be the cost of 10 tapes?
8. Find the cost of 6 correction tapes if you bought 2 initially and then 4 more.

**Tip:** When solving piecewise functions, always carefully determine which part of the function applies to the given scenario based on the conditions provided.

Learn how to compute the cost of purchasing 10 correction tapes using a piecewise function. Understand the pricing rules of 30 pesos for less than five tapes and 25 pesos for five or more tapes. Suitable for students in Grades 7-9.

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