Unit Rate
A cyclist travels 24 miles in 3 hours. How many miles per hour is she going?
8mi/hr
8 miles per hour
In the equation y=6x, what is the constant of proportionality, K?
6
Does the point (2,10) belong to Y=5x?
Yes, because 5(2) = 10
A map scale is 1in = 4miles. What does 5in represent?
20miles
Is y= 8x a proportional relationship?
Yes, because there is a constant, 8.
6 candy bars cost $9. What is the cost per candy bar?
$1.50/bar
$1.50 per candy bar
A proportional relationship contains the point (4, 20) What is K?
5, because Y/X: 20/4 = 5
Which point belongs to Y= 4x: (3,7), (3,12), or (3,15)?
(3,12)
A drawing uses 1cm= 3 meters. A hallway is 8cm on the drawing. How long is the actual hallway?
24meters
A table has
x = 1, 2, 3 and
y= 5, 10, 15
Is it proportional?
Yes, k = 5
A machine makes 150 bottles in 5 minutes. How many bottles does it make per minute?
30 bottles per minute
30/min
If X = 8 and Y = 28, what is K?
3.5, because Y/X is 28/8 which = 3.5
The points (1,7), (2,14), and (3,21) form a proportional relationship, what is K?
7
On a map, 3in represents 18miles. How many miles does 1in represent?
6mi per inch
Is this relationship proportional: (2,6), (4,12), (6,18), (8, 25)?
No, the last point does not have the same ratio.
A car uses 4 gallons of gas to travel 116 miles. How many miles does it travel per gallon?
29mi/gal
29 miles per gallon
A proportional relationship has K = 2.5. What is Y when X = 12?
30
A proportional graph contains (4, 12). If x=7, what coordinate pair would also be on the graph?
(7,21)
A model uses a scale of 1in = 1.5ft. A table is 6in long on the model by 4inch wide. What is the actual area of the table?
54ft^2
A proportional relationship has K=4. Write its equation and find Y when X=9.
Y=4x
Y=36
Store A sells 8 granola bars for $6. Store B sells 12 for $8.40. Which has the lower unit price?
Store B
Store B= $0.70/bar
Store A= $0.75/bar
The point (16, 44) is in a proportional relationship. Find K and write the equation.
K = 2.75
Y=2.75x
Do (6,15) and (10,25) belong to the same proportional relationship?
Yes. Both have K=2.5
A blueprint uses a scale of 1cm= 2m. A room measures 4cm wide by 6cm long on the blueprint. What are the actual dimensions of each wall and what is the area of the room?
8 meters x 12 meters = 96meters squared
A taxi charges $4 to get in and $3 per mile. Is the total cost proportional to miles traveled? Why or why not?
No, it starts with a $4 fee so it does not pass through (0,0).