Draw a rate graph of the given table of values on the grid below.
| Number of Packets of Rice | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| :----------------------- | :---- | :---- | :----- | :----- | :----- | :----- | :----- |
| Amount in Kina | 4.20 | 8.40 | 12.60 | 16.80 | 21.00 | 25.20 | 29.40 |
Answer (2)
To draw a rate graph from the provided table, plot the points representing the number of packets of rice against the amount in Kina. Connect these points with a straight line, indicating a constant rate of 4.2 Kina per packet. This graph effectively shows the linear relationship between the two variables.
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The x-axis represents the number of packets of rice, and the y-axis represents the amount in Kina.
Plot the points (1, 4.20), (2, 8.40), (3, 12.60), (4, 16.80), (5, 21.00), (6, 25.20), and (7, 29.40) on the graph.
Draw a straight line connecting the points, starting from (0,0).
The graph represents a constant rate of 4.2 Kina per packet of rice.
Explanation
Understanding the Problem We are given a table of values that shows the relationship between the number of packets of rice and the corresponding amount in Kina. Our goal is to draw a rate graph representing this data.
Setting up the Graph The x-axis will represent the number of packets of rice, and the y-axis will represent the amount in Kina. We will plot the given points on the graph. The points are (1, 4.20), (2, 8.40), (3, 12.60), (4, 16.80), (5, 21.00), (6, 25.20), and (7, 29.40).
Verifying the Constant Rate Since the rate (amount per packet) is constant, the graph will be a straight line. We can verify this by calculating the rate for each data point.
Calculating the Rate The rate is calculated as the amount in Kina divided by the number of packets. From the python calculation tool, we see that the rate is consistently 4.2 Kina per packet.
Plotting the Points and Drawing the Line Now, we plot the points on the graph and draw a straight line through them. The line starts at (0,0) and goes through all the points.
Analyzing the Graph The graph is a straight line, indicating a constant rate of change. For every packet of rice, the amount increases by 4.2 Kina.
Final Answer The rate graph visually represents the relationship between the number of packets of rice and the amount in Kina. The constant slope of the line indicates a constant rate of 4.2 Kina per packet.
Examples
Understanding rate graphs is useful in everyday life. For example, if you are buying multiple items at a store, and each item has the same price, you can create a rate graph to quickly determine the total cost based on the number of items you purchase. Similarly, if you are tracking the distance you travel over time at a constant speed, a rate graph can help you visualize your progress and predict how far you will travel in a given amount of time. Rate graphs are also used in various fields such as finance, economics, and science to analyze and interpret data.
