Finding the Unit Rate
Unit Rate and Slope
Tables and Graphs
Unit Rates/Slope
Finding Slope
100
Jude sends 45 E-mails in 15 minutes.
How many E-mails did he send per minute?
He sent 3 E-mails per minute.
100
Navelle earns $12 per hour. How much money will she earn in 4 hours?
$48
100
If we graph these points, will we get a straight line? Explain how you know. 
Yes! The slope remains constant, so the line is straight.
If we divide each cost per number of tickets, we see the constant of proportionality is $1.50 per ticket.
100
Every 2.5 hours, a machine produces
2250 basketballs. What is the unit rate of this proportional relationship?
900 basketballs per hour
100
What is the slope of this graph?
6
6 ft/s
200
Lenasia earned $640 in a 40-hour work week.
What is Lenasia's hourly rate of pay?
Lenasia earns $16 per hour.
200
Gianna reads 27 pages in 9 minutes. What is the rate she reads in pages per minute?
Gianna reads 3 pages per minute.
200
If you graph these points, will you get a straight line? Explain how you know.
The slope between different sets of points is NOT the same. Therefore, the line is NOT straight.
200
What is the slope formula?
m = y2 - y1
x2 - x1
300
A helicopter propeller spins 2400 revolutions in 4 minutes. What is the unit rate, the number of revolutions per minute?
The unit rate is 600 revolutions per minute
300
Maxine works at law office. On a graph of money she makes (y-axis) and hours she works (x), the slope is 135. Determine how much money she makes if she works 40 hours.
Maxine earns $5,400 in 40 hours.
300
A graph represents a proportional relationship if:
1.
2.
1. It is a straight line
2. It passes through the origin
300
What is a the slope of a line that passes through the origin and goes through point (3, 9)?
m = 3
400
Jeff earned $400 working a 40-hour work week.
Find Jeff's hourly wage and use it to predict how much he will make if he works for 47 hours.
Jeff makes $10 per hour and would make $470 IN 47 hours.
400
The equation y = 55x represents the rate of the Long Island highway speed limit, in miles per hour. Let x represent the number of hours driven and y represent the total miles driven.
How long was Francis driving if he drove 247. 5 miles at the speed limit.
Francis drove for 4.5 hours.
400
What is the slope of this graph?
slope = 1/6
400
Find the slope of a line that passes through the points (2, 4) and (4, 12).
m = 4
400
What is the slope of the line?
or the word problem: Jesse completed 10 laps in 18 minutes. How many laps did he run in 1 minute?
2/3
2/3 of a lap per minute
500
Janine sells 16 apples for $8.00. What is the unit price for each apple?
How much would she earn if she sold 64 apples?
The unit price is $0.50 per apple.
Janine would earn $24 for selling 64 apples.
500
A graph with distance in miles on the y-axis and gallons of gas used on the x-axis has a slope of 12. How many gallons of gas does it take to go 36 miles.
3 gallons
500
What is the slope of this line?
The slope is undefined.
500
Which line has a slope of 2?
Line m
500
Which relationship has the greater slope? The table or the graph. How do you know?
2.75
2.75 barrels per hour.