What is the equation of the line with a slope of -2/3 and a y-intercept of 7?
y = -2/3x + 7
100
Does the table represent an inverse variation? Why or why not?
x 2 6 10 12
y 4 8 12 14
NO - x is increasing as y is increasing
- (2*4) = 8 (6*8) = 48 . . . the product is different!
100
Solve the proportion:
5/25 = x / 100
x = 20
100
Which set of data is categorical?
a. Height
b. Hair color
c. Weight
d. None of the above
B. Hair Color
200
What is the equation of a line with a slope of 2 and a y-intercept of -4?
y = 2x + -4 OR y = 2x - 4
200
Write an equation for the following situation:
A cab charges a $5 flat fee plus an additional $1 for every mile you travel.
y = 5 + x
OR
y = x + 5
200
Does the table represent an inverse variation?
x 2 4 5 8 10
y 50 25 20 12.5 10
How do you know?
YES - x increases while y decreases
AND
- 2*50 = 100 4*25 = 100 5*20 = 100
ALL products are equal
200
6 our of 8 doctors recommend Brite Smile toothpaste.
If 40 doctors were asked their opinion, how many would you expect to recommend Brite Smile?
30 doctors would recommend Brite Smile
200
The distance a car travels is represented by the table below:
Time (hours) 0 1 2 3 4
Distance (miles) 0 45 90 135 180
How far will the car travel in 6 hours?
270 miles
300
How do you find the slope of a line when given the graph?
Pick 2 points
Count the boxes you go up (or down!) to get the "rise"
Count the boxes you go right to get the "run"
Slope = rise/run
300
The equation y = 50x + 275 represents the amount of money, y, Jenny has in her savings account after x months.
How much money did Jenny start with when she opened the account?
Jenny started with $275.
300
What is the inverse variation equation for the table?
x 1 2 4 5 10 20 40
y 20 10 5 4 2 1 0.5
y = 20/x
300
A class was surveyed and asked whether they like dogs or cats better. The table below shows the results:
dogs cats neither
boys 8 6 3
girls 6 12 4
What percentage of boys like dogs?
300
The time to complete a project varies inversely with the number of employees. If 6 people can complete the project in 3 days, how long will it take 2 people?
9 days
400
How do you find the y-intercept on a graph?
The y-intercept is the y-value where the line crosses the y-axis.
400
The equation y = 30 + 0.65t represents the amount of money, y, a phone company charges per month after sending t texts.
How much money does the phone company charge per text?
Jenny saves an additional $50 every month.
400
The time it takes, y, for x workers to paint a house is represented by the inverse variation equation
y = 60/x
How long will it take for 3 workers to paint the house?
20 minutes
400
A class was surveyed and asked whether they like dogs or cats better. The table below shows the results:
dogs cats neither
boys 8 6 3
girls 6 12 4
What percentage of girls like neither?
400
A line passes through the points (1, 3) and ( 2, 6). What is the equation that represents this line?
y = 3x + 0
500
What is the y-intercept for the table:
x y
-2 3
0 7
1 9
y-intercept = 7
500
What is the equation for a line with a slope of 4, that passes through the point (0,5)
y = 4x + 5
500
Draw an example of an inverse variation graph
the graph should NOT cross the x-axis or the y-axis
The graph should be curved
500
A company sent out 150 questionnaires and 54 were returned with answers. At this rate, how many questionnaires must the company send out in order to get at least 135 returned?
375
500
What is the equation of the function represented by the table?
x y
0 5
2 11
4 17
6 23