unit 1-2
An arithmetic sequence is shown
7,11,15,19,...
what is the recursive formula that was used to create this sequence
an=a(n-1)+4;a1=7
Marcy is building a square dog pen. The side length, in feet of the dog pen is an irrational number. Marcy claims that mean the area, in square feet, must also be an irrational number.
Which side length, in feet, shows that Marcy claims is incorrect.
6/17
Marcus buys $1,000 worth of stock in a company. He expects the value of the stock to increase by 5% each year.
Which equation could Marcus use to predict the stock's value x year after he purchases the stock?
A scientist studied the relationship between the number of trees,x, per acre and the number of birds, y, per acre in a neighborhood. She modeled the relationship with a scatter plot and used the equation y=4+6x for the regression line.
What is the meaning of the slope and y-intercept of this regression line?
The slope is 6. This means that for every 1 additional tree, she can expect an average of 6 additional birds per acre. The y-intercept is 4. This means that the average number of birds per acre in an area with no trees is 4.
The function f(t) is the quadratic that describes the distance, in feet, since the car began accelerating.
What statement describes f(100) in the context of this situation.
It doens't make sense to use the quadratic function f(t) to describe what is happening after 100 seconds. After 100 seconds the car would have traveled 120,000 feet and its speed would be about 1,636 ,iles per hour.
A computer store is placing and order for computers and tables. Each computer costs $875, and each tablet costs $235. The store can spend at most $10,000 for these computers and tables. The computer store has a limited amount of space for displaying the new computer and tables. Each computer takes up 4 square feet to space, and each tablet takes up 3 square feet of space. The store has only 45 square feet of display space available for the new computer and tablets. The system of inequalities shown can be used to determine possible combinations of computers, x, and tablets, y, the store can order.
875x + 235y <10,000
4x+3y<45
what combination of computers, x, and tablets, y, can the computer store order.
(8,4)
The vertex of the graph of quadratic function(x) is located at (-3,-1)
where is the vertex of the graph of quadratic f(x)+2 located at
(-3,1)
The first five terms of a pattern are shown.
9,27,81,243,729
The equation sn=a(b)n can be used to calculate the value, Sn of any term, n, in the pattern.
What are the values of a and b in the equation?
a=3,b=3
Which set of data points could best be modeled by a line of best fit that is a decreasing linear function?
{(0,50), (1,42), (2,33), (3,25),(4,16)}
Use the drop down menu to create an equation that describes the distance F(t) in feet the car has traveled based on the time, t, in seconds, since it began accelerating
12 and t
A store used the function shown to estimate the number of people in the store at any time, where x is the number of hours since the store opened.
f(x)=-4(x-4.5)^2+81
the store is closed in the hours when f(x)<0.
What is the domain of this function, and what that domain mean in the context.
The domain is D (x|0<x<9). The domain means the store is open for 9 hours.
The function h(x) is the quadratic function that describes the height, h(x), in feet, of a football x seconds after the football has been kicked into the air.
Which statement describes h(2)=67 in the context of this situation.
The quadratic function h(x) accurately describes that, after 2 seconds, the football is 67 feet high.
The first four terms in a sequence are shown.
-2,6,-16,54,...
which explicit equation can be used to to describe the sequence?
an=-2(-3)(n-1)
What statement is true about the cost to make a container of the strawberry jam?
The cost to make a container of the strawberry jam was $3.10 in the year the company opened and the coast increased $0.05 each year.
The function g(s) is a quadratic that describes the safe stopping distance, g(s) in feet, based on the speed, s, in miles per hour.
what is the value of g(55)?
302.5
A restaurant makes two kinds of bread: plain and cheesy bread. An order of plain bread requires 2 pounds of dough. An order of cheesy bread requires 3 pounds of dough and 1 pound of cheese. The restaurant has 80 pounds of dough and 20 pounds of cheese available each day.
which system of inequalities represents the number of orders of plan bread, x, and cheesy bread, y, that can be made each day.
the point (0,3) is not a solution for this system of linear inequalities.
Consider the function for cell duplication. The cells duplicate every minute.
f(x)=75(2)x
What do the values 75 and 2 represent in relation to the duplication of these cells.
The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute.
An exponential function, h(x), records the grams of a solution remaining x seconds after being exposed to air. The points (2,486) and (3,364.5) are solutions to h(x).
Which equation models function h(x)
h(x)=864(3/4)x
What does g(4)=3.04 represent in this context?
The coast to make a container of the grape jam in year 4 after the company opened was $3.04.
What is the constant term in the quadratic equation Kendra wrote?
-100
Which function can be used to model the data in this table.
x f(x)
0 -1
2 0
6 2
f(x)=x/2-1
The linear function f(x) is represented in the table
x f(x)
-4 -1
-2 0
2 2
The exponential function g(x) is represented by the equation g(x)=4(2)x-2
The x - and y - of f(x) are both smaller than the corresponding x-and y- intercepts of g(x).
A science class is doing an experiment using two different chemicals. The function shown represents the amount of chemical A, f(x) in milliliters, remaining x minutes after the experiment has begun.
f(x)=100(0.25)x
The function g(x) =2f(x) represents the experiment using chemical B.
What statement about the amount of each chemical remaining is true for any given value of x in the domains of both functions?
The amount of chemical A remaining is 1/2 the amount of chemical B remaining.
What function represents the cost, in dollars, to make a container of the raspberry jam?
r(x)=2.0(1.2)x
Use the drop-down menu to complete the statement about the price per sup of lemonade Kendra should charge to maximize her profit.
Kendra should charge $2.50 to maximize her profit