https://file.aiquickdraw.com/mathbot/file/17265941989871f6r6d3i.jpg

The table in the image shows two variables: **Harga (Price)** and **Permintaan (Demand)**. The goal is to determine the demand function from the data and plot the demand curve.

### Table Data:
- Harga (Price) = 20, Permintaan (Demand) = 20
- Harga (Price) = 18, Permintaan (Demand) = 36
- Harga (Price) = 16, Permintaan (Demand) = 32
- Harga (Price) = 14, Permintaan (Demand) = 38

### Step 1: Find the Demand Function
We can model the relationship between **Harga** (P) and **Permintaan** (Q) as a linear function:
\[
Q = aP + b
\]
Where \(a\) is the slope and \(b\) is the intercept.

Let's calculate the slope \(a\) using the formula:
\[
a = \frac{(Q_2 - Q_1)}{(P_2 - P_1)}
\]
I'll calculate the slope between two points and the intercept to find the function.The demand function is:

\[
Q = -8P + 180
\]

Where:
- \( Q \) is the demand (Permintaan)
- \( P \) is the price (Harga)

### Step 2: Plot the Demand Curve
I will now plot the demand curve based on this equation.It seems like I can’t do more advanced data analysis right now. Please try again later.

However, you can manually plot the demand curve based on the function:

\[
Q = -8P + 180
\]

Here’s how:
1. Set different values for \(P\) (Price), like 14, 16, 18, and 20.
2. Calculate \(Q\) (Demand) using the formula.
3. Plot the points on a graph with Price on the x-axis and Demand on the y-axis.

Would you like any further clarifications or help with this?

Here are some related questions to deepen your understanding:
1. How is the slope of the demand curve interpreted in economics?
2. What does a negative slope imply about the relationship between price and demand?
3. How would an increase in demand affect the function \(Q = -8P + 180\)?
4. Can you explain what the intercept \(b = 180\) represents in this context?
5. How would you modify the demand function if new data points were added?

**Tip:** When graphing a demand curve, always check if the relationship is linear or non-linear based on the data points.

Dari tabel dibawah ini, Tentukan Fungsi Permintaan lalu buatlah Kurva Permintaan. (Given a table of price and demand values, determine the demand function and plot the demand curve.)

Learn how to determine the demand function from a given table of price and demand values. This problem covers key algebraic concepts like linear functions and includes a step-by-step guide on how to plot the demand curve. Suitable for students in Grades 10-12.

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