Question

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To produce a successful crop of wheat, farmers must plant an appropriate amount of seed. The amount of seed that should be used depends on the width of the row that the farmer digs for the seeds to be planted. A farmer uses the table at left to figure out approximately how many seeds to plant. Based on the table, which of the following best describes the relationship between the width of the row and the number of seeds that should be planted per row foot?

A. The relationship is approximately linear, since for every inch, the number of seeds that should be planted is approximately 3 seeds per row foot.

B. The relationship is approximately linear, since for every inch, the number of seeds that should be planted is approximately 6 seeds per row foot.

C. The relationship is approximately exponential, since for every inch, the number of seeds that should be planted per row foot increases by approximately 10%.

D. The relationship is approximately exponential, since for every inch, the number of seeds that should be planted per row foot increases by approximately 20%.

Answer 1

The answer is “A” as when the width is multiplied by the row foot, you get approximately 3 times the amount.

I hope that’s correct and I hope I could help :)

Answer 2

Answer:

A. The relationship is approximately linear, since for every inch, the number of seeds that should be planted is approximately 3 seeds per row foot.

Step-by-step explanation:

We are given that,

The table shows the relation between the amount of the seeds and the width of row in inches.

As we see that,

12 = 4 × 3

18 = 6 × 3

20 ≈ 7 × 3

23 ≈ 8 × 3

29 ≈ 10 × 3

So, we get that the relationship is linear.

Thus, option C and D are not correct.

The linear equation corresponding the relation is $y=2.8x+0.8$ as shown below.

Hence, the correct option is,

A. The relationship is approximately linear, since for every inch, the number of seeds that should be planted is approximately 3 seeds per row foot.