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.

Expert avatar
Sigrid
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108 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.

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