Let's break down the problems in the image for numbers 15 and 16:

Soal 15: Grafik jarak tempuh sepeda terhadap waktu

The graph illustrates the relationship between the distance covered by the bicycle (in kilometers) and the time elapsed (in hours). You need to analyze the graph.

To answer this question:

• The graph in question shows a straight line that indicates a constant speed of the bicycle.
• Based on the information given, the slope of the graph indicates the rate of distance covered per unit of time, i.e., speed.

Let's look at the options:

• If the bicycle moves 20 km per hour, and the time elapsed is 2 hours, then after 2 hours, the distance traveled should be $20 \, \text{km/h} \times 2 \, \text{hours} = 40 \, \text{km}$.

Now, examining the graph options:

• The correct option would be the one where the line passes through the point (2, 40), meaning after 2 hours, the distance traveled is 40 km.

From the provided options, the correct answer is (C) because the line intersects the 40 km mark at 2 hours.

Soal 16: Berdasarkan grafik jarak tempuh sepeda terhadap waktu

This question asks you to derive the speed of the bicycle based on the graph, which shows the distance covered by the bicycle over time. If the speed is 2 km per hour, we can analyze how far the bicycle has traveled in 30 minutes (0.5 hours).

To answer:

• The slope of the graph represents the speed, which in this case is 2 km/h.
• The distance covered in 0.5 hours would be $2 \, \text{km/h} \times 0.5 \, \text{hours} = 1 \, \text{km}$.

Looking at the options:

• The correct answer is (A) 1 km, as the distance after 30 minutes should be 1 km.

Do you need more details or any further clarification?

Here are some additional questions for you to explore:

1. What is the meaning of the slope of a distance-time graph?
2. How can you calculate speed from a distance-time graph?
3. If the bicycle traveled for 5 hours, how far would it go at a speed of 20 km/h?
4. How does the graph change if the speed increases or decreases?
5. How would you graph a situation where the speed is zero for a certain time?

Tip: When analyzing a distance-time graph, the steeper the slope, the faster the object is moving!