College

A farmer operates a tractor on a farm to fertilize crops. The digital dashboard reads:

- Speed: 6.5 miles per hour
- Range: 31
- Engine Speed: 1700 rpm

Chart showing speed and area rate of coverage (acre per hour):

- 3 mph: 5.96 acres/hour
- 3.5 mph: 6.95 acres/hour
- 4 mph: 7.95 acres/hour
- 4.5 mph: 8.94 acres/hour
- 5 mph: 9.94 acres/hour
- 5.5 mph: 10.93 acres/hour
- 6 mph: 11.92 acres/hour
- 6.5 mph: 12.92 acres/hour
- 7 mph: 13.91 acres/hour
- 7.5 mph: 14.90 acres/hour
- 8 mph: 15.90 acres/hour
- 8.5 mph: 16.89 acres/hour
- 9 mph: 17.88 acres/hour
- 9.5 mph: 18.88 acres/hour
- 10 mph: 19.87 acres/hour

Chart showing engine speed and flow rate (gallons per minute):

- 500 rpm: 1 gpm
- 750 rpm: 2.5 gpm
- 1,000 rpm: 4 gpm
- 1,250 rpm: 5.5 gpm
- 1,500 rpm: 7 gpm
- 1,750 rpm: 8.5 gpm
- 2,000 rpm: 10 gpm
- 2,250 rpm: 11.5 gpm
- 2,500 rpm: 13 gpm
- 2,750 rpm: 14.5 gpm

Question: The value for area rate of coverage (acre/hour) compared to speed (mph) is approximately:

A. Twice as large.
B. Four times as large.
C. Half as large.
D. One-fourth as large.

Answer :

The relationship between the area rate of coverage and the speed is approximately four times as large. This means that doubling the speed leads to approximately four times the rate of coverage, making option B

To determine the relationship between the area rate of coverage (acre/hour) and the speed (mph) based on the given chart, we can compare the values at different speeds.

According to the chart, as the speed increases, the area rate of coverage also increases. For example, at 3 mph, the rate is 5.96 acres per hour, while at 3.5 mph, it is 6.95 acres per hour. This pattern continues as the speed increases: 4 mph yields 7.95 acres per hour, 4.5 mph gives 8.94 acres per hour, and so on.

By comparing the values, we can observe that as the speed doubles, the area rate of coverage also approximately doubles. For instance, at 3 mph, the rate is 5.96 acres per hour, and at 6 mph, it is 11.92 acres per hour. This indicates that doubling the speed results in approximately twice the rate of coverage.

Similarly, as the speed quadruples, the area rate of coverage also approximately quadruples. For instance, at 3 mph, the rate is 5.96 acres per hour, and at 6.5 mph, it is 12.92 acres per hour. This suggests that quadrupling the speed results in approximately four times the rate of coverage.

Option B

For more such questions on relationship visit:

https://brainly.com/question/29539046

#SPJ8