the amount of revenue brought in by states from motor vehicle licenses increased at a relatively constant rate of 499.79 million dollars per year from 1990 to 2000. In 2000, the states brought in 15,099 million dollars in revenue from motor vehicle licenses.

a: what was the approximate revenue from licenses in 1990?

b: write an equation that gives the revenue as a function of the number of years since 1990.

c: find the revenue from licenses in 1999.

a. y = mx + b

15099 = 499.79(10) + b
b = 10101.1
y = 499.79x + 10101.1

b. y = 499.97x + 10101.1
y = 499.79(0) + 10101. 1
y = $10101.1
c. y = 499.79x + 10101.1
y = 499.79(9) + 10101.1
y = $14599.21

a: Well, if the revenue increased at a constant rate of 499.79 million dollars per year from 1990 to 2000, we can estimate the revenue from licenses in 1990 by simply subtracting 499.79 million dollars for each year that passed. So, let's calculate it:

Revenue in 1990 ≈ 15,099 million dollars - (499.79 million dollars/year) * 10 years

Revenue in 1990 ≈ 15,099 million dollars - 4,997.9 million dollars

Revenue in 1990 ≈ 10,101.1 million dollars

So, the approximate revenue from licenses in 1990 was around 10,101.1 million dollars.

b: To write an equation that gives the revenue as a function of the number of years since 1990, we can use the form:

Revenue(years) = initial revenue + rate of increase * number of years

Let's substitute the values we know:

Revenue(years) = 10,101.1 million dollars + 499.79 million dollars/year * years

So, the equation would be: Revenue(years) = 10,101.1 + 499.79y, where 'y' represents the number of years since 1990.

c: To find the revenue from licenses in 1999, we can substitute the value of '9' for years into the equation we just derived:

Revenue(1999) = 10,101.1 + 499.79 * 9

Revenue(1999) = 10,101.1 + 4,497.11

Revenue(1999) ≈ 14,598.21 million dollars

Therefore, the revenue from licenses in 1999 was approximately 14,598.21 million dollars.

a: To find the approximate revenue from licenses in 1990, we need to subtract the total increase in revenue from 1990 to 2000 from the revenue in 2000.

Total increase in revenue from 1990 to 2000 = Rate of increase per year * Number of years = 499.79 million dollars/year * 10 years = 4997.9 million dollars

Revenue in 1990 = Revenue in 2000 - Total increase in revenue from 1990 to 2000 = 15,099 million dollars - 4997.9 million dollars ≈ 10,101.1 million dollars.

Therefore, the approximate revenue from licenses in 1990 is approximately 10,101.1 million dollars.

b: The equation that gives the revenue as a function of the number of years since 1990 can be represented as:

Revenue = Rate of increase per year * Number of years + Revenue in 1990

In this case, the rate of increase per year is 499.79 million dollars and the revenue in 1990 is approximately 10,101.1 million dollars.

c: To find the revenue from licenses in 1999, we need to calculate the number of years from 1990 to 1999 and use the equation from part b.

Number of years from 1990 to 1999 = 1999 - 1990 = 9 years

Revenue in 1999 = Rate of increase per year * Number of years + Revenue in 1990 = 499.79 million dollars/year * 9 years + 10,101.1 million dollars

Revenue in 1999 ≈ 4497.11 million dollars + 10,101.1 million dollars ≈ 14,598.21 million dollars.

Therefore, the revenue from licenses in 1999 is approximately 14,598.21 million dollars.

a: To find the approximate revenue from licenses in 1990, we need to determine the difference in revenue between 2000 and 1990, and then subtract that difference from the revenue in 2000.

The difference in revenue between 2000 and 1990 is given by:
Revenue difference = Revenue in 2000 - Revenue in 1990
Revenue difference = $15,099 million - $499.79 million/year * (2000 - 1990)

Let's calculate the revenue difference:
Revenue difference = $15,099 million - $499.79 million/year * 10
Revenue difference = $15,099 million - $4,997.9 million
Revenue difference = $10,101.1 million

Finally, to find the approximate revenue from licenses in 1990:
Revenue in 1990 = Revenue in 2000 - Revenue difference
Revenue in 1990 = $15,099 million - $10,101.1 million
Revenue in 1990 ≈ $4,997.9 million

Therefore, the approximate revenue from licenses in 1990 was around $4,997.9 million.

b: The equation that gives the revenue as a function of the number of years since 1990 can be expressed as:
Revenue = Initial Revenue + Rate of Increase * Number of Years

In this case:
Initial Revenue = $4,997.9 million (the revenue in 1990)
Rate of Increase = $499.79 million/year
Number of Years = years since 1990

Therefore, the equation can be written as:
Revenue = $4,997.9 million + $499.79 million/year * (Number of Years)

c: To find the revenue from licenses in 1999, we need to find the number of years from 1990 to 1999 and substitute it into the equation we derived in part b.

Number of Years = 1999 - 1990
Number of Years = 9

Revenue in 1999 = $4,997.9 million + $499.79 million/year * 9

Let's calculate the revenue from licenses in 1999:
Revenue in 1999 = $4,997.9 million + $499.79 million/year * 9
Revenue in 1999 = $4,997.9 million + $4,497.11 million
Revenue in 1999 = $9,495.01 million

Therefore, the revenue from licenses in 1999 was approximately $9,495.01 million.