Unit Rates
Davion’s crew can hang 12 sheets of drywall in 15 minutes. At this rate, how many sheets can they hang in 1 hour?
48 sheets in 1 hr
A car travels 26 miles on 1 gallon of gas. Jorge drives 130 miles and uses 5 gallons of gas.
yes; Both have a ratio of 26 : 1.
A bakery uses 12 cups of flour to make 3 batches of cookies. What is the constant of proportionality of cups of flour per batch of cookies?
4
In the proportional equation y = kx, the variable k represents this specific value.
Constant of Proportionality
What is a group of pandas known as?
Embarrassment
A spider monkey can swing from tree to tree a distance of 50 feet in 10 seconds. At this rate, how far can a spider monkey go in 1 minute?
300 ft in 1 min
Ryder is making pasta salad. The recipe calls for 5 parts noodles to 2 parts mayonnaise. Ryder adds 2.5 cups of noodles and 1 cup of mayonnaise.
yes; Both have a ratio of 5 : 2
Matthew bought 2 movie tickets for $11, and Rosa bought 7 movie tickets for $38.50. What is the constant of proportionality for cost per ticcket
$5.50
Marcus buys 5 tickets to a baseball game for $45. Write an equation relating the total cost y to the number of tickets x. How much would it cost if Marcus wants to buy 8 tickets?
y = 9x; $72
What sporting event has a strict dress code of all white?
Wimbledon
A jet stream can move a particle of air 11 miles in 5 minutes. At this rate, how far will the particle move in 1 hour?
132 miles in 1 hr
Veronica’s trail-mix package says there are 7 peanuts for every 3 cashews. After eating some trail mix, Veronica ate 63 peanuts and 27 cashews.
yes; Both have a ratio of 7 : 3.
Damian can make 3 free-throw shots in 10 seconds and 18 free-throw shots in 1 minute. What is the constant of proportionality for shots per second?
0.3
Elena's recipe for 4 batches of oatmeal cookies calls for 5 cups of oats. What equation can be used to model the total cups of oats y for the number of batches x? How many cups of oats would Elena need if she made 6 batches?
y = 1.25x; 7.5 cups
What city is known as "The Eternal City"?
Rome
Hon rolled a bowling ball so that it traveled 60 feet in 3 seconds. At this rate, how far would the ball go in 1 minute.
1,200 ft in 1 min
Anna can throw a football 44 yards in 2 seconds. Nolan can throw a football 84 yards in 3 seconds.
No; One ratio is 22 : 1, and the other is 28 : 1
Harry buys 3 granola bars for $5. Sidnee buys 9 granola bars for $15. What is the constant of proportionality for cost per granola bar?
1.67
A manufacturing machine can produce 9 electronic components every 2 minutes. What equation can be used to model the total number of components y produced in x minutes? How many components can the machine produce in 15 minutes?
y = 4.5x; 67.5 components
What character have both Robert Downey Jr. and Benedict Cumberbatch played?
David throws a fastball in a baseball game. The ball moves 27/2 feet in 1/10 second. At this rate, how far will the baseball go in 1 second?
135 ft in 1 sec
Elizabeth can cut 1 person’s hair in 30 minutes. Rodger can cut 16 people’s hair in 8 hours.
yes; Both have a ratio of 2 people per hour.
Timberlee buys 4 shirts for $31 and Riley buys 7 shirts for $54.25. What is the constant of proportionality for cost per shirt?
$7.75
Maya saves $60 every 3 weeks from her part-time job. What equation can be used to model the total amount of money, y, she saves in ,x, weeks? How much money will she have saved after 10 weeks?
y = 20x; $200
Who was a Norse explorer thought to set foot on America before Christopher Columbus?
Leif Erickson