In 2010, there were about 246 million vehicles (cars and trucks) and about 308.7 million people in the United States. 1 The number of vehicles grew 15.5⁢ % over the previous decade, while the population has been growing at 9.7⁢ % per decade. If the growth rates remain constant, when will there be, on average, one vehicle per person?

Question

Mathematics

Demarcus Schwartz

18 September, 00:30

In 2010, there were about 246 million vehicles (cars and trucks) and about 308.7 million people in the United States. 1 The number of vehicles grew 15.5⁢ % over the previous decade, while the population has been growing at 9.7⁢ % per decade. If the growth rates remain constant, when will there be, on average, one vehicle per person?

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Answers (1)

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Karsyn · Answer 1

2054

Step-by-step explanation:

The equation for the growth of people = 308.7 (1097) ^x

The equation for the growth of vehicles = 246 (1155) ^x

If the number of both are equal tham

308.7 (1097) ^x=246 (1155) ^x

Dividing both sides by 246

1.254878 (1097) ^x = (1155) ^x

Dividing both sides by (1097) ^x

1.254878 = (1155:1097) ^x

X=4.406 decades

X=44 years