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Updated on: 19 Nov 2023, 07:02
Originally posted by Sajjad1994 on 15 Jan 2021, 09:00.
Last edited by BottomJee on 19 Nov 2023, 07:02, edited 2 times in total.
Last edited by BottomJee on 19 Nov 2023, 07:02, edited 2 times in total.
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Dropdown 1: 1/2
Dropdown 2: 1.7
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
61% (03:17) correct
39%
(03:23)
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Fill each blank using the drop-down menu to create the most accurate statement on the basis of the information provided.
1. The number of households in the Midwest that do not use electricity for heating is approximately of the number of households in the US that use electricity for heating.
2. In the Midwest region, the average number of households using either propane/LPG or natural gas for heating is approximately million per state.
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Official Answer
Dropdown 1: 1/2
Dropdown 2: 1.7
16 Jan 2021, 09:30
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Official Explanation
Statement 1: \(\frac{1}{2}\). Start by reviewing the answer choices. The questions asks: “The number of households in the Midwest that do not use electricity for heating is approximately _______ of the number of households in the US that use electricity.”
Translate that statement into math:
(Midwest households that do NOT use electricity) ÷ (US households that DO use electricity)
Start with the number of Midwest households that do NOT use electricity. First, find the fraction of Midwest households that fit this qualification. Rather than add up all of the NON-electricity categories, take the electricity percent (18%) and subtract that from 100% to get 100% – 18% = 82%. Now, to find the actual number of households, find 82% of the total number of households, which is 25.9 million. Use the on-screen calculator: 0.82(25.9) = 21.24 million Midwest households do NOT use electricity.
Now do the same thing for the number of US households that DO use electricity. The chart indicates that 35% of US households fit this qualification. To find the actual number of households, find 35% of the total (113.6 million) = 0.35(113.6) = 39.76 million US households that DO use electricity.
Finally, plug these values into the desired fraction: 21.24/39.76 = 0.53 ≈ \(\frac{1}{2}.\)
Statement 2: 1.7. This question asks: “In the Midwest region, the average number of households using either propane/LPG or natural gas for heating is approximately _______ thousand per state.”
First, find the total number of Midwest households that use either propane or natural gas. Then, divide that by the number of states in the region (12 states).
8% of Midwest households use propane and 69% use natural gas, so 8 + 69 = 77% of households. The total number of Midwest households is 25.9 million. Calculate 77% of the total:
(0.77)(25.9) = 19.94 million households. (Careful! This value is in the answers, but you’re not quite done yet.)
Divide that number by 12 states to get the per state figure: 19.94/12 = 1.7 million households.
Statement 1: \(\frac{1}{2}\). Start by reviewing the answer choices. The questions asks: “The number of households in the Midwest that do not use electricity for heating is approximately _______ of the number of households in the US that use electricity.”
Translate that statement into math:
(Midwest households that do NOT use electricity) ÷ (US households that DO use electricity)
Start with the number of Midwest households that do NOT use electricity. First, find the fraction of Midwest households that fit this qualification. Rather than add up all of the NON-electricity categories, take the electricity percent (18%) and subtract that from 100% to get 100% – 18% = 82%. Now, to find the actual number of households, find 82% of the total number of households, which is 25.9 million. Use the on-screen calculator: 0.82(25.9) = 21.24 million Midwest households do NOT use electricity.
Now do the same thing for the number of US households that DO use electricity. The chart indicates that 35% of US households fit this qualification. To find the actual number of households, find 35% of the total (113.6 million) = 0.35(113.6) = 39.76 million US households that DO use electricity.
Finally, plug these values into the desired fraction: 21.24/39.76 = 0.53 ≈ \(\frac{1}{2}.\)
Statement 2: 1.7. This question asks: “In the Midwest region, the average number of households using either propane/LPG or natural gas for heating is approximately _______ thousand per state.”
First, find the total number of Midwest households that use either propane or natural gas. Then, divide that by the number of states in the region (12 states).
8% of Midwest households use propane and 69% use natural gas, so 8 + 69 = 77% of households. The total number of Midwest households is 25.9 million. Calculate 77% of the total:
(0.77)(25.9) = 19.94 million households. (Careful! This value is in the answers, but you’re not quite done yet.)
Divide that number by 12 states to get the per state figure: 19.94/12 = 1.7 million households.
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