Equivalent Fractions
Solve for x:
2/3 = x/12
x = 8
Cross Multiply
Question: A student walks 24 miles in 6 hours at a constant speed. What is the unit rate in miles per hour?
A. 3 miles per hour
B. 4 miles per hour
C. 6 miles per hour
D. 18 miles per hour
Answer: B. 4 miles per hour
Find the unit rate for the following problem:
27 calls in 9 hours
Calls ____________ =
Hours
3 calls per 1 hour
Find the unit rates:
4 miles / 1/4 hour = x miles / 1 hour
____________ = ___________
x = 16 miles per hour
On a graph, the line has to go through what to be proportional?
What is the origin or point 0,0
Solve for x:
x/10 = 2/5
x = 4
Cross Multiply
In geometry class, the girl to boy ratio is 9 to 4. If there are 45 girls, how many boys are there?
____________ = ____________
20 boys
9/4 =45/x
Marcus rides his bike 24 miles in 4 hours at a constant speed.
Question: What is Marcus’s unit rate in miles per hour?
A. 4 miles per hour
B. 6 miles per hour
C. 8 miles per hour
D. 12 miles per hour
B. 6 miles per hour
Find the Unit Rate:
1/4 feet / 5/6 minutes = x feet / 1 minute
___________ = ___________
x = 6/20 or 3/10 feet per minute
Which machine is a proportional relationship?
What is its constant of proportionality?
What is machine Q
The constant of proportionality is 6
Solve for x:
5/8 = x/64
x=40
Cross Multiply
The ratio of the number of girls to the number of boys in a chess club is 3 to 2. There are 14 boys in the chess club, What is the number of girls in the chess club?
____________ = ____________
21 girls
3/2=x/14
21 yards of yarn costs $42. What is the price per yard?
(Hint: money always goes on top)
____________ =
$2 per yard
Set up rates then solve:
It takes Daniel 2 1/2 hours to mow 3/4 of his lawn. How long does it take him to mow his entire lawn?
___________ = __________
20/6 or 10/3 or 3 1/3 hours
What are the 2 things to remember with proportional relationships?
1. The graph will pass through the origin (0,0)
2. The equation is linear (a straight line) and can be written in the form of y=mx
Simplify 66:42
11:7
For every 3 chocolate chip cookies that Angel bakes, he bakes 2 oatmeal raisin cookies. If he bakes 80 oatmeal raisin cookies, how many chocolate chip cookies did he bake? (Hint: chocolate chip over oatmeal raisin)
____________ = ____________
120 cookies
3/2=x/80
Spenser bought 5 chocolate bars for $3.70. What is the unit price for 1 chocolate bar?
__________ =
$0.74 per 1 chocolate bar
Ms. White is making meatloaf. She uses ¾ cup of breadcrumbs for every 1 ½ pounds of ground beef. How many cups of breadcrumbs does he need when he uses 1 ¾ pounds of beef?
Ms. White needs ⅞ cup of breadcrumbs for 1 ¾ pounds of ground beef.
Decide if the table is proportional. Writes your constant and equation.
x: 2,4,7,9
y: 10,20,35, 45
k=5
y=5x
Three students are planting vegetables in the school garden. Each student claims they planted the same fraction of their assigned garden section.
Jordan says, “I planted the most because my numerator is the smallest and my denominator is the smallest.”
Marcus disagrees and says, “We all planted equivalent fractions of our garden sections.”
Which is true?
All fractions simplify 3/4
Two students are making fruit punch for a school celebration.
Marcus claims that both mixtures have the same ratio of orange juice to pineapple juice because Jordan uses more of both ingredients.
Is Marcus correct?
Marcus is incorrect.
Two bus companies offer transportation for a 7th-grade field trip.
Company A: Charges $450 for 6 hours of transportation.
Company B: Charges $525 for 7 hours of transportation.
The principal claims that Company A has the better hourly rate because its total cost is lower.
Neither company saves the school money based on the hourly rate. Both companies would charge $675 for 9 hours.
Mr. Johnson is making pancakes. He uses ⅔ cup of flour for every 1 ¼ cups of milk. How many cups of flour does he need when he uses 2 ½ cups of milk?
1 1/3 CUPS OF FLOUR
Jordan rides his bike 18 miles in 3 hours at a constant speed. What is the constant of proportionality in miles per hour? Write an equation for distance y after x hours
Constant of proportionality (k) = 6 miles per hour
Equation: y = 6x