Suppose that the population of a certain town, in thousands, was 105 in 1990 and 141 in 2002. Assume that the population growth can be approximated by a straight line. Find the equation of a Line which will estimate the population of the town, in thousands, in any given year since 1990.
A)y = 4.25x + 90 where x is the number of years since 1990
B)y = 3x + 105 where x is the number of years since 1990
C)y = 2.5x + 105 where x is the number of years since 1990
D)y = -3x + 177 where x is the number of years since 1990

Question

Quizplus · Accepted Answer

The slope of the line is calculated by the change in population over the change in years, which is (141 - 105) / (2002 - 1990) = 36 / 12 = 3. The equation of the line is y = 3x + 105, where x is the number of years since 1990, making option B correct.

Suppose That the Population of a Certain Town, in Thousands