Literal Equations
Function Models
Parallel and Perpendicular
Exponential Functions
Systems by Substitution
100
Solve the formula for the specified variable.
r= (A-P)/(Pt)
100
Determine whether a linear, quadratic, or exponential function is the best model for the data in the table.
Exponential
100
Compare the slopes of the lines for y=f(x) and y =g(x) to determine is they are parallel.
The slopes are the same, which is 15, so the lines are parallel.
100
An exponential function of form f(x) = b^x includes the points (2, 16), (3, 64), and (4, 256). What is the value of b?
4
100
Solve the system of equations by the substitution method.
{(x,+,10y,=,36),(3x,+,5y,=,8):}
(-4,4)
200
Solve the equation for the specified variable.
S = DC - 8
D= (S+8)/C
200
Which type of function best models the data in the table?
Quadratic
200
Compare the slopes of the lines for y=f(x) and y =g(x) to determine is they are parallel.
The slope of f(x) is 3 and the slope of g(x) is 5. since the slopes are not the same, the lines are not parallel.
200
The exponential function f(x) = 2^x increases as x increases. Do all exponential functions of the form b^x behave this way. Use algebraic reasoning to support your answer.
No . Exponential Functions decrease when 0<b<1.
200
Solve the system of equations by the substitution method.
{(y,=,2x,+,1),(3y,-,3x,=,9):}
(2,5)
300
Solve the formula for the indicated variable for z.
F= (z-a)/(k)
z=Fk+a
300
Determine whether a linear, quadratic, or exponential function is the best model for the data in the table.
Linear
300
In the graph, are Lines L1 and L2 parallel? Explain.
No they are not parallel because they have different slopes.
300
Write an exponential function represented by the given table .
y = 9(4^x)
300
An airplane is preparing to land at an airport. It is 39,900 feet above the ground and is descending at the rate of 3,100 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,600 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be?
7 Minutes & 18200 Feet
400
Solve the formula for the indicated variable. Solve for v.
x = (2)/(5v) +7
v=(2)/(5(x-7))
400
The function f(x)= x^2 +3x -10 models the area of a rectangle. Describe the length and width of the rectangle in terms of x.
x+5, x-2
400
In the graph, are Lines L1 and L2 perpendicular? Explain.
Yes the lines are perpendicular because their slopes are opposite reciprocals of one another.
400
Determine whether the following table represents a linear or an exponential function. Explain why or why not.
Linear. The x values have a common difference and the y-values have a common difference.
400
On a certain hot summer's day, 407 people used the public swimming pool. The daily prices are $ 1.50 for children and $ 2.00 for adults. The receipts for admission totaled $ 632.00 .How many children and how many adults swam at the public pool that day?
364 Children and 43 Adults
500
Solve the formula for the indicated variable. Z.
s=zr-2zk^2
z=s/(r-2k^2)
500
Use a quadratic function to model the area of the rectangle.
3x^2+12x+9
500
In the graph, are Lines L1 and L2 perpendicular? Explain.
No because the slopes of the lines are not opposite reciprocals of one another.
500
What is Mr. Turners favorite word to use when someone is acting like they dont know what they are doing and they clearly know.
GOOFY
500
Susan has a collection of 44 nickels and dimes. If the number of nickels is three times the number of dimes, how many nickels and how many dimes does she have?
33 Nickels and 11 Dimes