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Ratios, rates, proportional relationships, and units SAT question
Math · Problem-Solving and Data Analysis · Hard · Answer it here, explanation included.
| State | Power capacity | |||
|---|---|---|---|---|
| Low | Medium | High | Total | |
| Texas | 4 | 2 | 3 | 9 |
| California | 1 | 0 | 1 | 2 |
| Oregon | 1 | 0 | 1 | 2 |
| Indiana | 0 | 2 | 0 | 2 |
| Colorado | 1 | 1 | 0 | 2 |
| Iowa | 2 | 0 | 0 | 2 |
| Oklahoma | 1 | 0 | 0 | 1 |
| Total | 10 | 5 | 5 | 20 |
The table shows the distribution, by location and power capacity (maximum rate of power generation) of the twenty largest wind projects in the United States in 2013. The total power capacity of the nine wind projects located in Texas was 4,952 megawatts (MW), and the total power capacity of the twenty wind projects was 11,037 MW in 2013. The amount of energy produced in one hour at a rate of one megawatt is one megawatt-hour. If each of the nine Texas wind projects in 2013 had operated continuously for 24 hours at the maximum rate of power generation, approximately how many megawatt-hours of energy would the nine projects have produced?
ExplanationShow
Choice D is correct. It’s given that the total power capacity of the nine wind projects in Texas was 4,952 megawatts. Therefore, if all nine Texas projects operated continuously for 1 hour, the amount of energy produced would be 4,952 megawatt-hours. It follows that, if all nine Texas projects operated continuously for 24 hours, the amount of energy produced, in megawatt-hours, would be 
, which is closest to 120,000.
Choice A is incorrect. This is approximately the amount of energy produced for the nine projects divided by 24 hours. Choice B is incorrect. This is approximately the amount of energy produced for the nine projects. Choice C is incorrect. This is approximately the given amount of energy produced for all twenty projects in the table.
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