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Rates of Change
Scientific Notation
Systems
Functions
Volume
100
Laskarina is driving at a rate of 17mph. Leah is driving faster. Which of the following COULD be the equation for Leah's driving?

a) y = 17x

b) y = 14x

c) y = 16.5x

d) y = 18.5x

D) y = 18.5x
100
The moon takes about 28 days to orbit the Earth, going a distance of about 2.413 x 10^6 kilometers. About how many km does the Moon travel during one day?
8.617857 x 10^4
100
Solve the system algebraically:

y = 4x

y = 4x - 5

No Solution
100
Is the table below a function? Justify your answer:


x   -1  -2   -3   -1

y    0   4    9    3

No, because -1 has two different outputs.
100
A triangular solid has dimensions of length = 2 in., width = 4 in. and height = 5 in. What is the volume of the triangular solid?
20 cubic inches.
200
Function 1 is the equation y = 3/2x - 8.


Function 2 is represented by the table below:

x     2      5      7     10

y     7     13     17    23


Which equation has the greater rate of change?

Function 2, with a rate of change of 2. The other function is only a rate of change of 1.5
200
A rancher uses a water bowl for her dog that holds 8,500 milliliters and a water trough for her horse that holds 2.7 x 10^5 milliliters. How many milliliters of water will the rancher use to completely fill both the bowl and the trough? Give your answer in scientific notation.
2.785 x 10^5
200
Solve this system of equations and explain your answer:

2y - 10 = x 

4y - 2x = 20

Infinitely many.

When you rearrange the equations, you end up with the exact same equations

200
Which equation(s) is/are nonlinear function(s)?

y = 3x - 8

y = x^2 

y = x/2 + 5

y = 4 - x^3

y = x^2

y = 4 - x^3

200
A machine part is made from a triangular prism with a smaller rectangular prism cut out of it. The larger prism has dimensions of 5 x 4 x 8 cm. The smaller prism has dimensions of 1 x 4 x 8 cm. What is the volume of the resulting shape?
128 cm
300
A submarine is diving to the bottom of the sea at a rate of 4.8 feet per second. Write the equation to model the dive of the submarine.
y = -4.8x
300
In 2009 there were approximately 5 x 10^7 members of a website. In 2013 there were 2 x 10^8 members. How many more members were there in 2013 than in 2009? Write your answer in scientific notation.
1.5 x 10^8
300
Solve the system algebraically.

2x + y = -1

-x + 3y = 11

(-2, 3)
300
Function R has a y-intercept of 3. Function S has the equation y = 1/3x + 3. Which statement is true about the functions:

A They have the same slope

B They have negative slopes

C They have the same output when y = 0

D They have the same output when x = 0

C They have the same output when y = 0
300
Two water tanks are in the yard at a filling station. One is cylindrical and has a radius of 10 feet and a height of 20 feet. The other tank is rectangular, with a width of 12 feet, a length of 9 feet and a height of 15 feet. 

How many rectangular tanks will it take to fill the cylindrical tank?

4
400
What is the rate of change for the table below?


x      -4          -1           5          16

y    4 2/3      5 2/3      7 2/3     11 1/3

1/3
400
The average adult human has approximately 2.5 x 10^13 red blood cells and 7 x 10^9 white blood cells. How many times greater is the number of red blood cells than the number of white blood cells?
3.57 x 10^3
400
Solve this system of 3 equations:

2x + y = 4

3x - y = 1

x - 2y = 2

(1. 2)
400
Which statement about these equations is true?

Equation A: y = 3x + 4

Equation B: y = 5x + 2

A. Equation A has a greater rate of change

B. Equation A has a greater initial value

C. Equation B has a greater initial value

D. Both equations have the same initial value.

B.
400
Two water glasses are on a table. One is shaped like a cylinder, and the other is a cone. Both have a radius of 2 inches and a height of 5 inches. 

How much larger is the volume of the cylinder than the cone?

3 times larger
500
The graph of a function has a slope of 4. Meanwhile, another function has a rate of change that is 3/2 the rate of change of the other graph. What is the rate of change for the second function?
6
500
A company spends a total of $64,500,000 on salaries for it's workers. If the company has 1.5 x 10^3 workers, what is the average salary? Please give your answer in scientific notation.
4.3 x 10^4
500
Oliver works at a bookstore. He packs 20 identical paperbacks and 9 identical textbooks in a box. The total mass was 44.4 pounds. After he put 1 more textbook and 5 more paperbacks in the box the total mass was 51 pounds. 

Write a system and solve it to determine the mass of one paperback and one textbook.

Paperback = .6 pounds

Textbook = 3.6 pounds

500
y = 2x + 3 and y = 1/2x


What are the initial values in these two graphs?

3 and 0
500
The model of a cylindrical pool has a diameter that is 4 inches across and 3.5 inches high. The scale from the model to the actual pool is 1 in : 3 feet.

What is the volume of the actual pool? Round to tenths.

1186.9 cubic feet