Probability
The ice cream shop offers a choice of 3 cone sizes, 15 flavors, and 8 toppings. How many cones are possible if you can only choose one flavor and one topping?
360
Is y = 2x exponential growth or decay?
Growth.
Describe the transformation. y = lxl - 5.
Down 5.
Virginia license plates consist of three letters followed by 4 digits. How many different license plates are possible?
175,760,000
Is (1/2)x growth or decay?
Decay.
Describe the transformation. y = 3lx+8l.
Vertical stretch by 3, left by 8.
Nick's science test has a section with 12 true or false questions. How many different ways can Nick answer these questions?
4,096
The value of a car y (in thousands of dollars) can be approximated by the model y = 25(0.85)t, where t is the number of years since the car was purchased. Estimate when the value of the car will be $8000.
7 years.
Describe the transformation. y = 1/2lx-1l-1.
Vertical compress by 1/2, right 1, and down 1.
How many ways can you arrange the letters in the word DINOSAUR?
40,320
The population P (in millions) of Per can be approximated by P = 28.22(1.01)t, where t is the number of years since the beginning of the decade. Identify the annual percent increase or decrease in population.
1%.
Cameron graphed the absolute value parent function. Then, he reflected the graph over the x-axis, shifted it four units to the right and three units up. Give the new equation.
y = -lx-4l+3.
There are 16 players on the baseball team. How many ways can the coach make a 9-player batting order?
4,151,347,200
In 2015, the world population was about 7.38 billion. During the next 5 years, the world population increased by about 1.09% each year. Write an exponential model that represents the population y (in billions) t years after 2015. Then estimate the world population in 2020.
y = 7.38(1.0109)t, 7.79 billion
Describe the increase and decrease of the function y = -lx-5l+2.
Increasing over the interval x < 5; Decreasing over the interval x > 5.