Unit Rate from Situations
Equivalent Ratios
Tables and Graphs
Unit Rates
More Tables and Graphs
100
Jude sends 45 emails in 15 minutes.
How many emails did he send per minute?
He sent 3 emails per minute.
100
Does this table show a proportional relationship?
x 4 6 8 12
y 15 30 45 60
no, common ratio or constant (k) is not the same
100
What is the unit rate of cost per ticket?
The unit rate 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
These lines represent the speed of different runners. Who is the fastest?
Line a
200
Lenasia earned $640 in a 40-hour work week.
What is Lenasia's hourly rate of pay?
Lenasia earns $16 per hour.
200
DAILY DOUBLE!!!!!!!!
x 12 18 22 26
y 1.5 2.25 2.75 3.25
What is the (k) for this table? When x is 24, what would y be? What is the equation?
k= .125 or 1/8
x= 24 y=3
Equation. y= 1/8x or y=0.125x
200
What is the equation for this table?
y=1/2x
200
What equation do you use to determine a proportional relationship?
k=y/x
200
What does the point (10, 12) mean in the context of hiking?
in 10 hours hiked 12 miles
300
A helicopter propeller spins 2400 revolutions in 4 minutes. What is the unit rate of revolutions per minute?
The unit rate is 600 RPM.
300
Is this table proportional?
x 1 3 5 7 9
y 10 20 30 40 50
no, ration or (k) is different each time
300
These are three criteria that make a proportional relationship.
1.) straight line 2.) passes through the origin (0,0)
3.) has equivalent ratios
300
What is the unit rate of a line that passes through the origin and goes through point (3, 9)?
3
300
Dave bought 3.5 pounds of bananas for $4.38.
What is the cost of bananas per pound? Round your answer to the nearest cent.
$1.25 per pound
400
Jeff earned $400 working a 40-hour work week.
Find Jeff's regular hourly wage and use it to predict how much he will earn if he works for 47 hours at the regular rate of pay.
Jeff earns $10 per hour and would make $470 in 47 hours.
400
Is this table proportional? What would be y when x is 14?
x 4 5 6 7 8
y 2 2.5 3 3.5 4
Yes, it would be 7
400
What is the unit rate of this graph?
unit rate is 1/6
400
What is the constant of proportionality in the equation, y=4x?
4
400
What is the unit rate of the graph?
or the word problem: Jesse completed 10 laps in 18 minutes. How many laps did he run in 1 minute?
The unit rate is 1.5 laps 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
Is this table proportional?
x 4 5 6 8
y 16 25 36 64
no, y=x^2
500
What is the unit rate of this graph?
The unit rate is 5.
500
Which line has a unit rate of 2?
Line m
500
What is the constant of proportionality of the table?
What is the equation?
2.75 and y=2.75x