Unit Rates
Proportional??
C of P/Rate of Change
Equations
Graphs
100
What is the unit rate:
322 meters in 28 seconds
11.5 meters/second
100
Solve for w.
w = 6.88
100
What is another name for constant of proportionality?
Sample answers: Unit rate, rate of change, constant rate of change
100
Which equation represents a proportional relationship?
A: y = 2x + 4
B: y = 2x
C: y = 2/x
D: y = x2
B: y = 2x
100
What are the two requirements for a graph to show a proportional relationship?
1) Straight line
2) Through the origin
200
The costs of different sizes of bottled sport drink are shown. Which bottle costs the least per ounce?
16 ounce bottle ($0.07/oz).
200
Is the graph shown proportional? EXPLAIN why or why not.
Yes, it is a straight line and it passes through the origin.
200
Use the table to determine how much Shawn would earn if he worked 7 hours.
$70 dollars.
200
What does k represent in the equation below:
y = kx
The unit rate/constant of proportionality/rate of change/constant rate of change
200
Is the graph shown proportional? Explain your answer.
Yes because it is a straight line and it passes through the origin.
300
What is the unit rate?
128 pounds of dog food for 16 dogs
8 pounds/dog
300
The table shows the amount Maggie earns each hour she babysits. Is it proportional? Explain your answer.
Yes, the unit ratios are the same every time (see below):
2 hours: $6/hour
3 hours: $6/hour
4 hours: $6/hour
300
What is the constant of proportionality in the graph shown?
2 lbs/person
300
Rupert drove home at an average rate of 58 miles per hour. Write an equation that represents the situation comparing miles to hours.
y = 58x
or
m = 58h
300
Part 1: Is the graph shown proportional? Explain.
Part 2: What does the point (1,7) represent?
Part 1: Yes, (straight line through the origin)
Part 2: Ryan earns $7 per hour.
400
Carly can walk 25 1/3 miles in 3/4 week. How many miles does she walk per whole week?
304/9 miles/week or 33.8 miles/week
400
Does the table shown represent a direct variation?Explain how you know.
No, the unit rates do not match (see below):
1 bottle: $2.95/bottle
2 bottles: $2.25/bottle
3 bottles: $2.02/bottle
400
Find the rate of change from the table.
65 miles per hour
400
Crystal earns $60 for 5 hours of work. Write an equation relating her earnings to the number of hours she tutors.
y = 12x
or
m = 12h
400
What does the point (4,6) represent in the graph shown?
It will cost $6 for 4 lbs of candy.
500
Rupert drove home at an average rate of 58 miles per hour. Find his rate in feet per hour. Round to the nearest tenth.
306,240 feet/hour
500
What is the format of an equation that could be used to represent a direct variation?
y = kx
500
Myra fills glasses with iced tea. The equation y= 6x represents the amount of glasses she can fill with each container of tea. What is the constant of proportionality? Include a label/units with your answer.
6 glasses per container
500
If it takes the Jones family 2 days to travel 1,240 miles, what equation could represent how far they travel in one day. Let m represent miles and d represent days.
m = 620d
500
Who saves more per month? By how much? Justify your answer.
Sam saves $10/month. Rachel saves $5/month. Sam saves $5 more per month.