The population of San Diego,CA, grew in approximately linear fashion from 1,110,

Question

The population of San Diego,CA, grew in approximately linear fashion from 1,110,600 in 1990 to1,263,700 in 2004.

(a) Find a linear equation that gives the population y of San Diego(in thousands) in year x, with x = 0 corresponds to 1990.

(b) Estimate the population of San Diego in the year2010.

(c) Assuming the equation in part (a) remains accurate, when willSan Diego's population reach 1.5 million people? The population of San Diego,CA, grew in approximately linear fashion from 1,110,600 in 1990 to1,263,700 in 2004.

(a) Find a linear equation that gives the population y of San Diego(in thousands) in year x, with x = 0 corresponds to 1990.

(b) Estimate the population of San Diego in the year2010.

(c) Assuming the equation in part (a) remains accurate, when willSan Diego's population reach 1.5 million people?

Explanation / Answer

In year 1990, x=0, y= 1110.6 1110.6=m(0)+c, c=1110.6 Equation becomes y=mx+1110.6; in year 2004, x=14, y = 1263.7; 1263.7=m(14)+1110.6; m=153.1/14 (approximate to 10.9) Therefore, the equation is y=(153.1/14)x + 1110.6
(b)In year 2010, x=20, y=(153.1/14)(20) + 1110.6 y=1329.3 (approximate value)
(c) When population reach 1.5 million, y=1500 1500=(153.1/14)x + 1110.6 x= 35.6 ( approximate to 36) Year = 1990+36 = 2026.
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