PreCalculus(MAT-180) Cumulative Review
Cerullo Learning Assistance Center (CLAC) Page 4
26) Exponential Growth: The world population P (in billions) was 6.4 in 2005. The exponential
growth rate k was 1.2% per year.
a. Find the exponential growth function for the population
b. Find the world population in 2008.
c. When will the world population be 8 billion? 9 billion?
d. Find the time for the world population to double in size.
27) Radioactive Decay: Let Q represent a mass of carbon 14 (in grams) whose half-life is 5,730
years. The quantity of carbon 14 present after t years is given by the model
a. Determine the initial quantity.
b. Determine the quantity present after 5,730 years.
c. Determine the quantity present after 40,110 years.
28) Radioactive Decay: The initial quantity present of carbon 14 is 800 grams. If this substance has
a half-life of 5,730 years,
a. Find the formula for the quantity present ( .
b. Find the amount of substance present after 150 years.
29) Sketch the graph of each function. Find the domain and any asymptotes.
a.
b.
c.
d.
e.
f.
30) Condense each expression.
a.
b.
c.
31) Expand each expression.
a.
b.
c.