A fraction that has a fraction in its numerator, denominator, or both.
What is a complex fraction?
100
On his way to visit his sister at college, Greg drives 135 miles in 3 hours. What is his average rate of speed in miles per hour?
45 miles per hour
100
A car wash washes 3 cars in 1 hour, 6 cars in 2 hours, and 9 cars in 3 hours. Is this relationship proportional? Explain your answer.
Yes. The amount of cars they are washing increases at a consistent of 3 cars per hour.
100
A cashier earns $8 per hour. Write an equation to represent this.
y=8x
100
In order for a graph to represent a proportional relationship, what part of the coordinate plane must it go through?
The origin
200
A letter that represents the constant of proportionality.
What is k?
200
Jan designs a new logo for Kim's website. Kim pays Jan $45 for 5 hours of work. How much money does Kim pay Jan per hour?
$9 per hour
200
Moana travels 50 miles in 2 hours, 75 miles in 3 hours, 90 miles in 4 hours, and 110 miles in 5 hours. Is this relationship proportional? Explain your answer.
No. There is not a constant rate of change.
200
A car wash washes 3 cars in 1 hour, 6 cars in 2 hours, and 9 cars in 3 hours. Write an equation to represent this.
y=3x
200
Does this graph represent a proportional relationship? Why?
Yes, because the graph goes through the origin.
300
A rate with a denominator of 1.
What is a unit rate?
300
Sasha can mow 3/8 of an acre of grass in 45 minutes. How many acres of grass does Sasha mow per hour?
1/2 acre per hour
300
Ty takes 1 hour to read 35 pages, 2 hours to read 70 pages, and 3 hours to read 105 pages. Is this relationship proportional? Explain your answer.
Yes. The amount of pages Ty is reading is increasing at a constant rate of 35 pages per hour.
300
Can you write an equation for a relationship that is not proportional? Why?
No. There is no constant rate of change, so there is no value for k.
300
Does this graph represent a proportional relationship? Why?
No. The graph does not pass through the origin.
400
A comparison between two numbers.
What is a proportion?
400
Paige mows 1/6 acre in 1/4 hour. How many acres does Page mow per hour?
2/3 acre per hour
400
It takes you 1 hour to go 35 miles, 2 hours to go 80 miles, 3 hours to go 120 miles, and 4 hours to go 145 miles. Is this relationship proportional? Explain your answer.
No. There is not a constant rate of change in this relationship.
400
Terri received 9 texts in 1 minute, 27 texts in 3 minutes, and 81 texts in 9 minutes. Write an equation to represent this relationship.
y=9x
400
Explain the meaning of the ordered pair (2,40) in the given graph about the distance traveled by a car and the amount of fuel used by the car.
A car uses two gallons of gas to go 40 miles.
500
A ratio that compares two quantities having different units of measure.
What is a rate?
500
Tank A is filling at a rate of 5/8 gallon per 7/10 hour. Tank B is filling at a rate of 5/9 gallon per 2/3 hour. Which tank is filling faster?
Tank A
500
A lifeguard on Kauai earns $45 in 6 hours and $90 in 12 hours. Is this relationship proportional? Explain your answer.
Yes. The amount a lifeguard earns increases by $7.50 for each hour they work.
500
Write an equation for the graph that shows the relationship between the number of concert tickets purchased and the total cost for the tickets.
y=20x
500
Write an equation for the given graph about the distance traveled by a car and the amount of fuel used by the car.