Trig
When the sun shines at a 45° angle, Marcus’s shadow is 28 in long.
How tall is Marcus? Round to nearest inch
28 inches
The function
f(x)=1500(1.04)x models a population of frogs after x years. What will the population be in 6 years?
1,898 frogs
A fish pond has a population of 300 fish. The population increases by 12% per year.
Write an exponential growth function to model the monthly growth.
f(x)=300(1+12%)t
A turtle habitat starts with 40 turtles. The population increases 30% per year.
Write an exponential growth function to model monthly growth.
f(x)=40(1+30%)t
When the sun shines at a 50° angle, Elena’s shadow is 40 in long.
How tall is Elena? Round to nearest inch
48 inches
The function
f(x)=3200(1.03)x models a population of fish after x years.
What will the population be in 5 years?
3,709
A butterfly garden starts with 150 butterflies. The population grows 18% per year.
Write an exponential function to model the monthly growth rate.
F(x)=150(1+18%)t
The function
f(x)=2600(1.07)x models a population of turtles after x years.
What will the population be in 5 years?
3,648
A ladder is 15 ft long and leans against a wall at a 40° angle with the ground.
How high up the wall does it reach?
9.6 feet
The function
f(x)=900(1.08)x models a population of rabbits after x years.
What will the population be in 4 years?
1,224
A colony of bacteria begins with 600 bacteria. The population increases 24% per year.
Write an exponential growth function for monthly growth.
f(x)=600(1+24%)t
A tree casts a 20 ft shadow when the sun is at a 55° angle above the ground.
How tall is the tree?
28.6 feet
A ladder 20 ft long leans against a wall at a 35° angle with the ground.
How far is the base from the wall?
16.4 feet
The function
f(x)=5000(1.02)x models a population of birds after x years.
What will the population be in 10 years?
6,095
A bird sanctuary begins with 80 birds. The population grows 15% per year.
Write an exponential growth function for monthly growth.
f(x)=80(1+15%)t
What is the vertex of the graph of function
f(x)=3(x-4)2+2?
(4,2)
A kite string is 50 ft long and makes a 55° angle with the ground.
How high is the kite? Round to the nearest foot
41 ft
The function
f(x)=4200(1.06)x models a population of insects after x years.
What will the population be in 3 years?
5,002
A deer population begins with 120 deer. The population increases 10% per year.
Write an exponential growth function for monthly growth.
f(x)=120(1+10%)t
What is the vertex of the graph of function
f(x)=4(x-5)2+1?
(5,1)