Unit Rates
A grocery store paid $314.65 for 7 crates of milk. What is the unit rate?
$44.95
For a relationship to be proportional, its line has to pass through the _____ of the graph.
origin
What is the constant of proportionality in the equation y=7.2x?
7.2
What is the constant of proportionality in the equation y=5x?
5
What is the slope if the rise is 10 and the run is 2?
5
An ice cream truck driver determined he had made $11.06 after selling 7 ice cream bars. What is the unit rate?
$1.58 per ice cream bar
Is this a proportional equation? y=6x-3
No
Every two hours, 40 cars go by a gas station. What is the constant of proportionality?
20
The equation 31.92=(4.56)7 shows how much money you would make for recycling 7 pounds of cans. How much do you make per pound recycled?
$4.56
If a line is going down from left to right, it is _____?
Negative
A school had to buy 27 new science books and it ended up costing $630.72 total. How much is one science book?
$23.36
Is this a proportional equation? y=-4x
Yes
Ellen rides her bike everyday. She figures that the relationship between days and total miles rode can be represented by the equation y=3x. How many miles does she ride every day?
3
.) To determine how many pages would be need to make 3 books you can use the equation, 138=k3. How many pages would be in 1 book?
46
A horizontal line has a slope of _________?
0
At a carnival, it costs $6.54 for 3 tickets. What is the unit rate?
$2.18 per ticket
A restaurant sells 3 pies in the first hour it opens and 5 pies the second hour it's open. Is the relationship between hours opened and pies sold proportional?
No
Suzette and Margo want to prepare crepes for all the students in their French class. A recipe males 20 crepes with a certain amount of flour, milk and 2 eggs. The girls know that they already have plenty of flour and milk but need to determine the number of eggs needed to make 50 crepes because they are not sure they have enough eggs for the recipe. How many eggs are needed to make 50 crepes?
5 eggs
A movie theater used y=kx to calculate how much money they made selling 9 buckets of popcorn. They determined they made 45.99 dollars. How much was it for each bucket?
$5.11
What type of line has an undefined slope?
Vertical
Ben can run 5 miles is 45 minutes. What is his rate per minute? In other words, how far does he run every minute?
0.111 miles per minute
A swimming pool fills up at a rate of 8 gallons every minute. Does this scenario describe a proportional relationship?
Yes
Wildlife conservationists are concerned that the deer population might not be constant across the National Forest. The scientists found that there were 144 deer in 16 square mile area for the forest. In another part of the forest, conservationists counted 117 deer is a 13 square mile area. Are the deer constant in the two areas found?
Yes, the constant of proportionality is 9 deer per 1 square mile.
A chef bought 3 bags of oranges at the supermarket and it cost her $5.82. Write an equation that can be used to express the relationship between the total cost and the number of bags of oranges purchased.
y=1.94x
A line crosses through the origin and (2,3). What is the slope of the line?
3/2