1. The gross federal debt y (in trillions of dollars) for a certain country in y

Question

1. The gross federal debt y (in trillions of dollars) for a certain country in year x is approximated by the following equation. Where x is the number of years after 2000. y=0.5x+6.68 In what year will the federal debt be $10.68 trillion?

2. The population of a certain country is approximated by the following equation, where x is the number of years since 1980 and P is the population in millions. P=2.835x+126.241

Determine the year in which the country had or will have a population of 197,331,000.

Explanation / Answer

(1)

y=0.5x+6.68

where y is debt (in trillions of dollars)

x is no. of years after 2000

given debt is $10.68 trillion

10.68 = 0.5x+6.68

0.5x = 10.68-6.68

0.5x = 4.00

x = 4.00*2 = 8

so in year 2008 the federal debt be $10.68 trillion.

answer is 2008

(2)

P=2.835x+126.241

P is the population in millions

x is the number of years since 1980

P = 197,331,000 = 197.331 million

P = 197.331 = 2.835x+126.241

2.835x = 197.331-126.241 = 71.09

x = 71.09/2.835 = 25.08

it means the population will reach to the mentioned level in year (1980+25.08 = 2005.08)

so after 2005, in year 2006 the population will reach to the level 197,331,000

answer is year 2006

As the post had more than 1 question, as per Chegg policy I was supposed to answer only one of these 2 question, but I went on to answer both of them in hope of an upvote to the answer. Please upvote the answer.

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