Question

art 2 of 2

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Part 1
The graph shows the population y of a certain city over the course of 10 years x. The equation of the trend line shown is yequals1.9xplus21. Answer parts a and b.
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Part 1
a. Use the equation of the trend line to predict the number of years it will take for the population to reach​ 52,900.
The population will reach​ 52,900 during year
select: 16.79
16.
​(Type a whole​ number.)
Part 2
b. In the tenth​ year, the population was actually​ 2,000 people from what the trend line shows. What could the actual number of people be in 10​ years?
The actual number of people could be
  
enter your response here or
  
enter your response here.
​(Use ascending order. Round to the nearest thousand as​ needed.)

Answer 1

a. 17
(work: 1.9x + 21 = 52.9 → x = (52.9 − 21)/1.9 ≈ 16.79, so during year 17)

b. 38,000 or 42,000
(trend line at x=10: 1.9(10)+21 = 40 → 40,000 ± 2,000 = 38,000 or 42,000)