Question
Research shows that the value of god and the value of the dollar are inversely proportional. In 2016, gold cost $1200 per ounce and the dollar had a rating of 93 on the US dollar index. In 2017, the cost of the gold was $1300 per ounce. What was the 2017 rating of the dollar? Round to the nearest hundredth.
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Answer to a math question Research shows that the value of god and the value of the dollar are inversely proportional. In 2016, gold cost $1200 per ounce and the dollar had a rating of 93 on the US dollar index. In 2017, the cost of the gold was $1300 per ounce. What was the 2017 rating of the dollar? Round to the nearest hundredth.
Sigrid
4.5115 Answers
Given that the value of gold and the dollar index are inversely proportional, we can express this relationship as follows:
G \cdot D = k
For 2016:
1200 \cdot 93 = k
Calculate \( k \):
k = 111600
For 2017:
Let \( D_{2017} \) be the dollar index for 2017 when the gold cost was $1300 per ounce.
Use the relationship again:
1300 \cdot D_{2017} = 111600
Solve for \( D_{2017} \):
D_{2017} = \frac{111600}{1300}
D_{2017} = 85.84615385
Round to the nearest hundredth:
D_{2017} = 85.85
Answer: The 2017 rating of the dollar was 85.85.
For 2016:
Calculate \( k \):
For 2017:
Let \( D_{2017} \) be the dollar index for 2017 when the gold cost was $1300 per ounce.
Use the relationship again:
Solve for \( D_{2017} \):
Round to the nearest hundredth:
Answer: The 2017 rating of the dollar was 85.85.
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