How do you find the constant in any proportional relationship?
y/x = k
Slide 1
Not Proportional
Slide 5
Not Proportional
Samantha's family spends $60 to rent a bike for 5 hours. The total cost, y, of the bike rental is proportional to the number of hours, x, the family rents the bike.
How much does it cost in dollars to rent the bike for one hour?
$12 for one hour
Miss Benedict shops at a store where all items are on sale for 25% off. One of the items she wanted to buy had an original price of $70.00. She makes an equation where her sale price is equal to 70 times what?
0.75
How do I write this percent as a decimal for an equation, 5.5%?
0.055
Slide 2
k= 1/4
Slide 6
1 bullseye per arrow fired
Jessica's family spends $60 to rent a kayak for 6 hours. The total cost, c, of the kayak rental is proportional to the number of hours, h, the family rents the kayak.
1.How much does it cost in dollars to rent the kayak for one hour?
2. Create an equation using c and h to represent the proportional relationship.
$10 per hour
c=10h
A tub of ice cream can hold 10 pounds. The ice cream tub was 90% full. After dinner, someone ate 15% of the ice cream. How much ice cream is left?
7.65 pounds
How do you know if a table is proportional?
If the constants are all the same/ matches
Slide 3
Tricked you! There is no constant. But why though?
Slide 7
⅔ British Pounds per U.S. Dollar
Katniss makes cakes all day. It takes 2 hours to make ½ a cake. What is the unit rate in cakes per day?
6 cakes per day
Mrs Ludmann goes to the stores to buy a new book. The book was on sale for 40% off. She bought the book (the sale price) for $15.00. What was the original price of the book?
$25
I ride my bike 7 ½ miles every 6 hours. What is my unit rate in miles per hour?
1.25 mph
Slide 4
y=3x
Slide 8
(1,8)
A smoothie recipe requires mixing 1 tablespoon of honey with 1/3 cup of blended bananas. Alex wants to make a larger batch of the smoothie and plans to use 1 ⅔ cups of blended bananas while maintaining the same ratio of honey to bananas.Note that there are 16 tablespoons in 1 cup.
How many cups of honey should Alex mix with this amount of honey?
5/16 cups of honey
Miss Reeder is collecting money for a Children’s Hospital for Valentine’s Day. She collects $178 each day for 9 days. Miss Reeder will use 47% of the money she collects to buy candy and treats for the children. The rest of the money will be used to buy small toys and plush animals. How much of the money that Miss Reeder collects will be used to buy small toys and plush animals?
$849.06