Unit Rate
You bought 5 candy canes for $20. How much does 1 candy cane cost?
$4
What is 30% as a decimal?
0.30
What is the equation to find the constant of proportionality? (k=)
k=y/x
What is 55% as a decimal?
0.55
Jake completed 1/4 of his homework in 2/5 of an hour. How much of his homework does he complete in 1 hour?
5/8 of his homework in 1 hour
What is 0.67 as a percent?
67%
Is the table proportional?
x|y
1|2
2|4
3|6
Yes, k=2
What 2 things make a graph proportional?
It must go through the origin and it must be a straight line.
You ate 1 1/3 pizzas in 1/4 of an hour. How many pizzas can you eat in 1 hour?
16/3 or 5 1/3 pizzas in 1 hour.
You have $25 and you spent $15 of it on lunch. What is the percent you have left?
40%
What is the constant of proportionality for the table?
X|Y
3|1
6|2
9|3
k=1/3
What is the percent change?
Original: 12
New: 15
25%
You run 3/4 of a mile in 1/2 of an hour. How many miles do you run per hour?
3/2 or 1 1/2 miles per hour
You spend $18 on a jacket and $5 on a shirt plus a 6.25% sales tax on both items. What is the sale price if you buy the jacket and the shirt?
$24.44
Solution: 1.0625 times 18=19.13
1.0625 times 5= 5.31
19.13+5.31=$24.44
What is the equation that represents this table? (y=kx)
X|Y
0|0
1|4
2|8
y=4x
How can you determine if a table is proportional?
Find K the constant of proportionality for every point and if they are all the same then it is proportional.
You buy 4 shirts for $16. You can also buy 2 shirts and 3 hats for $14. What is the ratio of the cost of a shirt to the cost of a hat?
(Hint: Find the price of 1 shirt first and then find the price of 1 hat.)
4:2 or 2:1
You want to buy a sweater online that costs $26.99. You can also buy a pair of socks for $5.99. Shipping costs $4.99. If you buy the sweater only and use the coupon below, how much will you end up paying?
Coupon: 20% off, not including shipping.
Answer: $26.58
Solution: 0.8 times 26.99=21.59
21.59 plus 4.99 for shipping =$26.58
Is the table proportional? If so what is k?
X:0|3/4|1/2|1 1/2
Y:0|1/2|1/3| 1
Yes, k=2/3 or 0.67.
Andrew's family had 10 boxes of mac and cheese. During this week they ate 2 boxes. What is the percent of boxes left?
80%