Question 1

The following graph shows the relationship between a company s profits P and the number of items it sells x . ( P is in dollars.) What is their maximum profit?   $__________

Accepted Answer

The answer of The following graph shows the relationship between...

Question 2

In an aerobics class, the instructor indicates that her students' exercise heart rate is 55% of their maximum heart rate, where maximum heart rate is 220 minus their age. Determine the equation that gives exercise heart rate E in terms of age A .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 3

Give the slope and y -intercept for the following equation. Sketch the graph using the slope and y -intercept. Give the slope of any line perpendicular to the given line.

Accepted Answer

A)    Slope =   y -intercept =   perpendicular slope =   
B)    Slope =   y -intercept =   perpendicular slope =   
C)    Slope =   y -intercept =   perpendicular slope =   
D)    Slope =   y -intercept =   perpendicular slope =   
A)    Slope =   y -intercept =   perpendicular slope =   
B)    Slope =   y -intercept =   perpendicular slope =   
C)    Slope =   y -intercept =   perpendicular slope =   
D)    Slope =   y -intercept =   perpendicular slope =

Question 4

Boyle's law states that for low pressures, the pressure of an ideal gas kept at a constant temperature varies inversely with the volume of the gas. State Boyle's law as an equation using the symbols P , K , and V .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 5

Graph the following relation. Use the graph to find the domain and range, and indicate whether the graph is the graph of a function.

Accepted Answer

A)          
B)          
C)          
D)          
A)          
B)          
C)          
D)

Question 6

Give the equation of the line perpendicular to the graph of   that has an   -intercept of   .

Accepted Answer

The answer of Give the equation of the line perpendicular...

Question 7

The relative aperture or f -stop ( f ) for a camera lens is inversely proportional to the diameter of the aperture ( d ). An f -stop of 4 corresponds to an aperture diameter of 20 millimeters for the lens on an automatic camera. What is the f -stop of this camera when the aperture diameter is 10 millimeters?

Accepted Answer

The answer of The relative aperture or f -stop (...

Question 8

Find the equation of the line with x -intercept 9 and y -intercept 2.

Accepted Answer

The answer of Find the equation of the line with...

Question 9

In an aerobics class, the instructor indicates that her students' exercise heart rate is 15% of their maximum heart rate, where maximum heart rate is 220 minus their age. Determine the equation that gives exercise heart rate E in terms of age A .

Accepted Answer

The answer of In an aerobics class, the instructor indicates...

Question 10

Find the slope of the line from the graph.

Accepted Answer

A)  2 
B)  -1 
C)  0 
D)  1 
E)  no slope 
A)  2 
B)  -1 
C)  0 
D)  1 
E)  no slope

Question 11

Let   and   . Find the function   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 12

Let   and   . Find the composition   .

Accepted Answer

The answer of Let   and   ....

Question 13

The resistance of a wire varies directly with its length and inversely with the square of its diameter. If 100 feet of wire with diameter 0.03 inch has a resistance of 30 ohms, what is the resistance of 60 feet of the same type of wire if its diameter is 0.06 inch?

Accepted Answer

A)  0.9 ohms 
B)  45 ohms 
C)  0.018 ohms 
D)  4.5 ohms 
E)  9.0 ohms 
A)  0.9 ohms 
B)  45 ohms 
C)  0.018 ohms 
D)  4.5 ohms 
E)  9.0 ohms

Question 14

The weight of a certain material varies directly with the surface area of that material. If 16 square feet weighs half a pound, how much will 6 square feet weigh?

Accepted Answer

The answer of The weight of a certain material varies...

Question 15

Let   and   . Find the composition   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 16

Let   and   . Find the composition   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 17

y varies directly with x . If y is 8 when x is 4, find y when x is 7. y = __________

Accepted Answer

The answer of y varies directly with x . If...

Question 18

z varies jointly with x and the square of y . If z is 168 when x = 3 and y = 4, find x when z = 56 and y = 1. x = __________

Accepted Answer

The answer of z varies jointly with x and the...

Question 19

Write the equation of the line with the slope m = 0 and y -intercept b = 5.

Accepted Answer

A)  y = 5 
B)  y = 5 x + 5 
C)  y = 5 x 
D)  x = 5 y 
E)  x = 5 
A)  y = 5 
B)  y = 5 x + 5 
C)  y = 5 x 
D)  x = 5 y 
E)  x = 5

Question 20

State whether the following graph represents a function.   The graph __________.

Accepted Answer

The answer of State whether the following graph represents a...

The following graph shows the relationship between a company s profits P and the number of items it sells x . ( P is in dollars.) What is their maximum profit? $__________

In an aerobics class, the instructor indicates that her students' exercise heart rate is 55% of their maximum heart rate, where maximum heart rate is 220 minus their age. Determine the equation that gives exercise heart rate E in terms of age A .

Give the slope and y -intercept for the following equation. Sketch the graph using the slope and y -intercept. Give the slope of any line perpendicular to the given line.

Boyle's law states that for low pressures, the pressure of an ideal gas kept at a constant temperature varies inversely with the volume of the gas. State Boyle's law as an equation using the symbols P , K , and V .

Graph the following relation. Use the graph to find the domain and range, and indicate whether the graph is the graph of a function.

Give the equation of the line perpendicular to the graph of that has an -intercept of .

Find the equation of the line with x -intercept 9 and y -intercept 2.

In an aerobics class, the instructor indicates that her students' exercise heart rate is 15% of their maximum heart rate, where maximum heart rate is 220 minus their age. Determine the equation that gives exercise heart rate E in terms of age A .

Find the slope of the line from the graph.

Let and . Find the function .

Let and . Find the composition .

The resistance of a wire varies directly with its length and inversely with the square of its diameter. If 100 feet of wire with diameter 0.03 inch has a resistance of 30 ohms, what is the resistance of 60 feet of the same type of wire if its diameter is 0.06 inch?

The weight of a certain material varies directly with the surface area of that material. If 16 square feet weighs half a pound, how much will 6 square feet weigh?

Let and . Find the composition .

Let and . Find the composition .

y varies directly with x . If y is 8 when x is 4, find y when x is 7. y = __________

z varies jointly with x and the square of y . If z is 168 when x = 3 and y = 4, find x when z = 56 and y = 1. x = __________

Write the equation of the line with the slope m = 0 and y -intercept b = 5.

State whether the following graph represents a function. The graph __________.

Notation and Symbols

Simplifying Expressions

Paired Data and Graphing Ordered Pairs

Multiplication With Exponents

The Greatest Common Factor and Factoring by Grouping

Reducing Rational Expressions to Lowest Terms

Review of Solving Equations

Rational Exponents

Completing the Square

Exponential Functions

The Circle

Sequences

Filters

Exam 8: The Slope of a Line

The following graph shows the relationship between a company s profits P and the number of items it sells x . ( P is in dollars.) What is their maximum profit? $__________

In an aerobics class, the instructor indicates that her students' exercise heart rate is 55% of their maximum heart rate, where maximum heart rate is 220 minus their age. Determine the equation that gives exercise heart rate E in terms of age A .

Give the slope and y -intercept for the following equation. Sketch the graph using the slope and y -intercept. Give the slope of any line perpendicular to the given line.

Boyle's law states that for low pressures, the pressure of an ideal gas kept at a constant temperature varies inversely with the volume of the gas. State Boyle's law as an equation using the symbols P , K , and V .

Graph the following relation. Use the graph to find the domain and range, and indicate whether the graph is the graph of a function.

Give the equation of the line perpendicular to the graph of that has an -intercept of .

Find the equation of the line with x -intercept 9 and y -intercept 2.

In an aerobics class, the instructor indicates that her students' exercise heart rate is 15% of their maximum heart rate, where maximum heart rate is 220 minus their age. Determine the equation that gives exercise heart rate E in terms of age A .

Find the slope of the line from the graph.

Let and . Find the function .

Let and . Find the composition .

The resistance of a wire varies directly with its length and inversely with the square of its diameter. If 100 feet of wire with diameter 0.03 inch has a resistance of 30 ohms, what is the resistance of 60 feet of the same type of wire if its diameter is 0.06 inch?

The weight of a certain material varies directly with the surface area of that material. If 16 square feet weighs half a pound, how much will 6 square feet weigh?

Let and . Find the composition .

Let and . Find the composition .

y varies directly with x . If y is 8 when x is 4, find y when x is 7. y = __________

z varies jointly with x and the square of y . If z is 168 when x = 3 and y = 4, find x when z = 56 and y = 1. x = __________

Write the equation of the line with the slope m = 0 and y -intercept b = 5.

State whether the following graph represents a function. The graph __________.

Notation and Symbols

Simplifying Expressions

Paired Data and Graphing Ordered Pairs

Multiplication With Exponents

The Greatest Common Factor and Factoring by Grouping

Reducing Rational Expressions to Lowest Terms

Review of Solving Equations

Rational Exponents

Completing the Square

Exponential Functions

The Circle

Sequences

Filters