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

Question

3 years ago

8

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 find the rate of change of a bushel of corn in the previous year from the table and write a sentence describing ing how you found your answer
B How many dollars more is the price of a bushel of corn in the current year found on the graph than the price of a bushel of corn in the previous year found on the table

Mathematics

2 answers:

stepladder [879] · Answer 1 · 2022-05-01T03:53:48+03:00

Answer:

<h2>The current year has a cost of $0.50 higher in comparison with last year.</h2>

Step-by-step explanation:

Let's find the rate of change for the graph.

First, we need two points, which are gonna be (0,0) and (8,64).

Then, we use the formula

$r=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

Then, we replace the points

$r=\frac{64-0}{8-0}=\frac{64}{8}=8$

Therefore, the constant rate of change is 8, which means $8 per bushel of corn.

Now, let's find the rate of change for the table.

We need to points, which are gonna be (2,15) and (6,45).

Then, we use the same formula and replace points

$r=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }\\r=\frac{45-15}{6-2}=\frac{30}{4}= 7.5$

Therefore, the rate of change for the table is 7.5, which means $7.50 per bushel of corn.

Now, by comparison, we notice that the current year has a higher cost than last year. Specifically, this year the cost of a burshel of corn is $0.50 higher in comparison with last year.