The figure below shows the graphical representations of three functions, f, g, a

Question

The figure below shows the graphical representations of three functions, f, g, and h which all give a city's populations (given in thousands of people) in terms of the number of years, z, since 2000. Match each of the following descriptions to one of the given functions =f(x) y=g(x 2 number of years since 2000 a. The initial population was 50 thousand people and the population increased by 12% each year. Determine the function rule for this definition. Function LI Function Definition: g) 501.12 Preview b. The initial population was 50 thousand people and the population increased by 8% each year. Deter n nethe unction u e ortas definition. Function f

Explanation / Answer

c. Initial population=50000

After first year,population=50000+20000=70000

After second year, population=70,000+20000=90000

After third year,polulation =90,000+20,000=110,000

50000,70000,90000,.....

Its in arithmetic progression, with first term=50000 and common difference=20000

h(x)= 50000+(x-1)20000=30000+ 20000x

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.