Ratios
In an art class, there are 32 pens to 40 brushes. What is the ratio of pens to brushes written as a fraction in simplest form?
4 pens / 5 brushes
6 miles in 2 hours
3 mi/hr
Tanya is saving $1.50 each day to buy a new sweater. The table shows the amount that Tanya saves each day to buy a new sweater. The table also lists this information as ordered pairs (days, total saved).
Graph
Mr. Chen bought 3 pounds of ham for $21. At this rate, how much would 9 pounds of ham cost?
$63
A scanner can scan 40 pages in 4 minutes. At this rate, how many pages can it scan in 2 minutes?
20 pages
What is the greatest common factor of 36 and 42?
6
A manatee surfaced for air 3 times in 120 seconds. How many seconds went by before the manatee surfaced the first time if it held its breath for the same rate?
40 seconds
Make a table for each store that shows the total cost for 1, 2, 3, or 4 pairs of jeans. List the information as ordered pairs (number of pairs, total cost).
The Jeans Source (1,25), (2,50), (3,75), (4,100)
Mary's Boutique (1,30), (2,60), (3,90), (4,120)
Mr. Paulson has been on a train for 4 hours and traveled 320 miles. At this rate, how far will he have traveled in 5 hours?
400 mi
Juan read 300 pages in 5 days. At this rate, how many pages can he read in 2 days?
120 pages
At a summer camp, there are 50 girls out of 80 campers. What is this ratio written as a fraction in simplest form?
5 girls / 8 campers
It took Cedric 42 minutes to jog 12 laps. At this rate, how many minutes did it take to jog each lap?
3.5 min
Graph the ordered pairs for each store on the same coordinate plane. Then using the tables and graphs, write a few sentences comparing the ratios of amount charged per pair of jeans for each store. How is this shown on the graph?
Graph, Mary's Boutique charges more per jean than The Jeans Source. This is shown on the graph by Mary's Boutique's line being steeper.
Mia saves $28 in 8 weeks. Her sister saves $18 in 24 days. Are the rates at which each sister saves equivalent?
no, $2 / 4 days ≠ $3 / 4 days
$.50 per day ≠ $.75 per day
Chantel counted 48 books on 6 shelves in the library. How many books would she expect to count on 12 shelves?
96 books
The table lists the number of students from Windy Brook Middle School at the state fair. What is the ratio of sixth graders to the total number of students at the fair?
2 sixth graders / 9 total students
$9 for 18 pounds
$.50 per pound
A car wash can wash four cars in one hour. The table shows the total number of cars washed in 0, 1, 2, and 3 hours.
a) (0,0), (1,4), (2,8), (3,12)
b) graph, Goes up 4, to the right 1
Determine if each pair of ratios or rates are equivalent. Explain your reasoning, $15 for 5 pairs of socks; $25 for 10 pairs of socks
No, $3 per pair ≠ $2.50 per pair
A store manager orders T-shirts so that 15 out of every 35 are a medium. How many medium T-shirts would you expect to find when there are 126 T-shirts on a rack?
54 mediums
The table shows the number of votes each student received for class president. What is the ratio of votes for Hatim to the total number of votes?
4 Hatim / 15 Total
Julia can type 150 words in 5 minutes. At this rate, how many words can she type in 1 minute?
30 words
Erasers cost 5 cents each at the school store. The table shows this relationship.
a) (1,5), (2,10), (3,15), (4,20)
b) graph, Goes up 5, to the right 1
Determine if each pair of ratios or rates are equivalent. Explain your reasoning. 78 correct answers out of 100 test questions; 39 correct answers out of 50 test questions
Yes; the fractions are equivalent.
Margo won 24 out of her last 36 tennis matches. At this rate, predict how many matches she would win out of her next 27 matches?
18 matches