Finding & Using Unit Rate
Verbal Descriptions
Graphs
Tables
Final Jeopardy
100
The relationship between hours worked and wages is proportional. If you make $12 an hour, how much will you make after 10 hours?
$120
100
Does this scenario represent a proportional relationship? For one sandwich is cost $5.75, for 3 it cost $17.25, and for 6 it cost $34.50. If yes, what is the constant of proportionality?
Yes, 5.75
100
What TWO things must be true for the graph of a proportional relationship?
Start at the origin (0,0)
One Straight Line
100
How would you calculate the constant of proportionality/unit rate from a table? (k=?)
k = y/x
200
Lavonya travels 35 miles per hour, how far will she travel in 4 hours?
140 miles
200
Does this scenario represent a proportional relationship? The amount of money earned for 2 hours is $15.00 and for 3 hours is $22.50. If yes, what is the constant of proportionality?
Yes, 7.50
200
Does the graph #2 represent a proportional relationship?
No because the graph does not start at the origin point (0,0)
200
Does the relationship shown in table #1 represent a proportional relationship? If so, what is the constant of proportional relationship?
Yes, k = 0.25
200
Karly can run 3/4 of a mile in 5/8 of an hour. What is the unit rate that describes Karly's miles per hour of running?
1 1/5 miles per hour
300
The cost of 3 oranges is $2.55. How much does one orange cost and how much will 10 oranges cost? Solve using unit rates.
$0.85 for 1 orange, $8.50 for 10 oranges
300
At your job you make $15 after two hours and $25 after three hours. Does this scenario represent a proportional relationship? If yes, what is the constant of proportionality?
No
300
Does the graph #1 represent a proportional relationship?
Yes
300
Does table #2 represent a proportional relationship? If yes, what is the constant of proportionality?
Yes, k = $2.90
300
Which scenario does NOT describe a proportional relationship and why?
a) A store sells bananas for $0.34 each
b) An initial club join fee of $5.00, then $2.00 each month.
c) Popcorn being made at 5 bags per 1/2 an hour
B, because the initial fee would cause the relationship to not start at (0,0)
400
You are able to sell 5 games for $22.50. If the relationship is proportional how much will you receive for 8 games?
$36
400
It costs $8.97 for 3 packages of turkey, $17.94 for 6 packages, $26.91 for 9 packages. Does this scenario represent a proportional relationship? If yes, what is the constant of proportionality?
Yes, 2.99
400
Does the graph #4 represent a proportional relationship?
No because it has an origin point (0,0) and a cop but is not a straight line
400
Does the table represent a proportional relationship? If so, what is the constant of proportionality.
yes, k=2.52
500
Ms. J buys 4 bags of candy for $15. What is the cost for 1 bag and how much would 8 bags cost?
$3.75 for 1 bag and $30 for 8 bags
500
June has $120.00 in her checking account and she makes a $50.00 deposit in it each week. How much would she have in her account after making a deposit for 3 weeks? AND Is the relationship proportional?
$270.00, not proportional
500
Find the unit rate of this graph?
k = 1/3 or 0.333
500
Calculate the constant of proportionality from table #4
k=0.12