Question

HELP PLEASE 20 POINTS The 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. 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. AND IT IS NOT QUESTION AND ANSWER PLEASE LOOK AT THE GRAPH AND READ THE PARAGRAPH

Answer 1

Answe

Step-by-step explanation: Part A:

a

For this problem, I would find the rate of change by finding the slope, which is the change in y over the change of x(y2-y1/x2-x1). In this case, for the current year, it would be 24(48-24) (change in y's) divided 3 (6-3)(change in x's), which comes out to 6. Hence, the rate of change for the current year is 6.

Part B:

Using the same method, the rate of change for the previous year would be 7. I found it by using the same equation. It would (42-21=21)(change in y's) / (6-3=3)(change in x's). 21/3 =7. Hence, for the previous year, the rate of change is 7.So the difference between the previous and current year is $1 (7-6).

Answer 2

Part A: 8

Part B: $1

Step-by-step explanation:

Part A:

We know that 3 bushels is $24, and that rate remains constant, as the graph has a straight line.

Divide both sides by 3 to get 1 bushel = $8.

We can also double check with the other values: 48/6=$8 per bushel, 72/9=$8 per bushel, and so on.

The rate of change is the slope of a line (how much one value changes when the other value does). In this equation, the equation of the line is y=8x, so the slope is 8. Therefore, the rate of change is 8.

Part B:

In the previous year, each bushel of corn was 21/3, 42/6, etc., or $7 a bushel. This year, it is $8, so $8-$7=$1

Therefore, the price has increased by $1 this year.