Unit 1
A store charges their customers based on the number of items that they buy. Jane bought four items and was charges $15 and George bought twelve items and was charged $39. Write a function to model the cost based on the number of items you buy. Then determine how much you bought if you were charged $33.
f(x)=3x+3;f(10)=33
y>2x-1 2x>5
Which choice consists of the y-coordinates of all the points that satisfy the system of inequalities above?
A: y>6 B: y>4
C: y>5/2 D: y>3/2
B: y>4
If A is a rational number and B is a rational number, then the product AB must be?
A: rational B: imaginary
C: an integer D: irrational
A: rational
A new species of fish is released into a lake, and the fish multiply quickly. The growth of their population is modeled by the exponential function P(t)= 7b^t, where t is the time in weeks after the release and b is a positive unknown base. According to the model, how many fish of the new species were released initially?
A: 2 B: 7 C: 12 D: 14
B: 7
Beverly is starting a new diet. Her current weight is 160 pounds. She expects to lose 4 pounds per month. If x represents the number of months Beverly is on the diet, which linear function models the situation?
A: y=4x-160 B: y=-4x+160
C: y=1/4x+160 D: y=-4x
B: y=-4x+160
A store charges their customers based on the number of items that they buy. Jane bought four items and was charged $15 and George bought twelve items and was charged $39. Write a function to model the cost based on the number of items you buy. Then determine how much you are charged if you purchase 22 items.
f(x)=3x+3;f(22)=69
An Uber driver charges $0.50 per mile and an initial fee of $3. A lift driver charges $0.60 per mile and an initial fee of $2. Which inequality represents the situation where the cost of using Lift is greater than taking an Uber, where m is miles.
A: 0.50m+0.60m<3+2 B: 0.50m+0.60m>3+2
C: 0.50m+3<0.60m+2 D: o.50m+3>0.60m+2
C: 0.50m+3<0.60m+2
If A is a rational number and B is an irrational number, then the sum A + B is?
A: rational B: imaginary
C: irrational D: an integer
C: irrational
Solve for x. 6^-2x = 6^(2-3x)
A: x=0 B: x=1
C: x=2 D: x=3
C: x=2
Ted researched the price of airline tickets and discovered a correlation between the price of a ticket and the number of miles traveled. After recording his data on a scatter plot, he determined the equation for the line of best fit is y=300+0.45x. What does 0.45 represent in the equation?
A:the lowest ticket price
B:the number of miles traveled
C: the expected change in the price of multiple tickets
D:the expected change in the price of the ticket for each miles traveled
D: the expected change in the price of the ticket for each mile traveled.
Sketch the linear function f(x)=1/6(3x+1). Select the TRUE key feature of the graph.
A: y-intercept (0,1) B: x-intercept (1/6,0)
C: x-intercept (-1/3,0) D: y-intercept (0,-1/6)
C: x-intercept (-1/3,0)
Select ALL the pairs that satisfy the length of constraint.
(5,5) (2.5,4.5) (7.5,3.5) (12,10)
(5,5) (7.5,3.5) (12,10)
Consider that x=-5 and y=-4. Which statement is true about x + y?
A: The sum of x and y is a rational number.
B: The sum of x and y is an imaginary number.
C: The sum of x and y is an irrational number.
D: The sum of x and y is neither rational nor irrational.
A: The sum of x and y is a rational number.
Solve for x. 4^3x+5 = 8^4x-3
A: x=3 B: x=12/5
C: x=-2 D: x=19/6
D: x=19/6
Is it causation or correlation?
A recent study showed that college students were more likely to vote than their peers who were not in school.
Correlation
Harris is building a deck around his pool. His contractor charges $525 for labor plus an additional $4.75 per square foot for materials. Formulate a function that can be used to determine the cost, in dollars, for a deck with an area of x square feet.
A: f(x)=529.75x B: f(x)=4.75x+525
C: f(x)=525x+4.75 D: f(x)=4.75x+525x
B: f(x)=4.75x+525
Solve the inequality: X-5 > 32
What is the prime factorization of this number?
45=???
= 3 * 3 * 5
Which exponential function describes the given sequence? 3, 9, 27, 81,........
A: y=(-1/3)^x B: y=1/3^x
C: y=(-3)^x D: y=3^x
D: y=3^x
Is it causation or correlation?
Mr. Thompson noticed that there was more trash in the hallways after 2nd period than 1st period.
Correlation
Which function describes the arithmetic sequence shown? -1, 1, 3, 5, 7, 9, 11, 13, .......
A: f(x)=2x-3 B: f(x)=3x-2
C: f(x)=2x+3 D: f(x)=3x+2
A: f(x)=2x-3
Solve the inequality: 11 < -k+19
k < 8
What is the prime factorization of this number?
54=???
=2 * 3 * 3 * 3
Your new job guarantees you an eight percent raise for each year with the company. If your initial salary is $42,200, write an equation to model your salary after t years.
A: S=42,200t^1.08 B: S=42,200^1.08t
C: S=42,200(.08)^t D: S=42,200^1.08/t
E: S=42,200(1.08)^t
E: 42,200(1.08)^t
Put the correlation coefficients in order from weakest to strongest.
0.87, -0.81, 0.43, 0.07, -0.98
0.07, 0.43, -0.81, 0.87, & -0.98