he graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of different numbers of bushels of corn at the same store in the previous year.
A graph shows Number of Bushels on x-axis and Price of Corn in dollars on y-axis. The x-axis scale is shown from 0 to 21 at increments of 3, and the y-axis scale is shown from 0 to 168 at increments of 24. A straight line joins the ordered pairs 3, 24 and 6, 48 and 9, 72 and 12, 96 and 15, 120 and 18, 144.
Previous Year
Number of Bushels
Price of Corn (dollars)
3
21
6
42
9
63
12
84
Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value. (5 points)
Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work. (5 points)
(MAKE IT SOUND LIKE A FIFTH GRADER AND ALSO MAKE IT LESS THAN 200 WORDS ALSO JUDGING BY HOW ITS WRITTEN TRY TO MAKE IT SOUND LIKE THE LESSON)
Part A: To find the rate of change of a bushel of corn in the current year, you can look at how the price changes as the number of bushels increases. You can pick two points on the graph, like (3, 24) and (6, 48), and see how much the price goes up as the number of bushels goes up. In this case, the price goes up by $24 for every 3 bushels of corn. So, the rate of change is $24 divided by 3, which equals $8 per bushel.
Part B: To find out how many dollars more the price of a bushel of corn is in the current year compared to the previous year, you can compare the prices for the same number of bushels. For example, in the previous year, 3 bushels of corn cost $21 each, and in the current year, 3 bushels cost $24 each. The difference in price is $24 - $21 = $3. So, the price of a bushel of corn in the current year is $3 more than in the previous year.