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. the approximate revenue from licenses in 1990 was $10,101.10 million.

b. The function is x = 10,101.10 + 499.79y

c. The revenue from licenses in 1999 is $14,599.21 million.

Step-by-step explanation:

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: what was the approximate revenue from licenses in 1990?

This can be calculated using the following function:

x = a + by   (1)

Where;

x = Amount brought in 2000 = $15,099 million

a = Amount brought in 1990 = ?

b = Amount of relative constant rate of increase = $499.79 million

y = Number of years between 1990 and 2000 = 10

Substituting the values into equation (1) and solve for a, we have:

15,099 = a + (499.79 * 10)

a = 15,099 - 4,997.90

a = $10,101.10 million

Therefore, the approximate revenue from licenses in 1990 was $10,101.10 million.

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

Using equation (1) in part a above, we substitute the values for a and b to obtain an equation that gives the revenue as a function of the number of years since 1990 as follows:

x = 10,101.10 + 499.79y (2)

c: find the revenue from licenses in 1999.

Since 1999 is 9th year from 1990, we therefore substitute y = 9 in equation (2) as follows:

x = 499.79 + 10,101.10y

x = 10,101.10 + 499.79(9)

x = 10,101.10 + 4,498.11

x = $14,599.21 million

Therefore, the revenue from licenses in 1999 is $14,599.21 million.