Proportional Relationships
Charlie gets paid $45 for 3 hours of work, $75 for 5 hours of work, and $120 for 8 hours of work. Can this relationship be described as a constant rate? What is the unit rate?
Yes; $15 per hour
The scale model of a building is 6.5 inches tall. How tall is the actual building if the scale used for the model is 1 inch = 150 feet?
975 ft
Alain earns $12.00 per hour at the coffee shop. After three months, his salary is increased to $12.60 per hour. Express the change in Alain’s salary as a percent.
5% increase
If you want to leave a 15% tip on a $62 dinner, what will be the total price of your bill after tip?
$71.30
If you start at 9 on a numberline, move to the left 13 and to the right 1, will you be to the left our the right of the number 0?
If the ratio of Oxygen atoms to Hydrogen atoms is 1:2, how many oxygen atoms are there when there are 8 hydrogen atoms?
4 oxygen atoms
What is the value of 1/3in divided by 6?
2in
5 years ago, an average model 70" TV cost about $2,400. Now a similar TV costs approximately $1,680. What is the percent decrease in TV price?
30% decrease
Find the original price given the total amount and the tip rate.
$38.35; 18% tip
$32.50
4
A table shows $36 for 3 hours of work, $60 for 5 hours of work and $96 for 8 hours of work. What is the unit rate for each pair of quantities? Does this show a proportional relationship?
$12 per hour; $12 per hour; $12 per hour; yes.
3/8 a mile in 3/4 an hour
2 mi/h
Find the percent change from 96 to 93. State whether it is an increase or a decrease.
Decrease of 3.125%
Emily paid $287.50 in taxes to the school district that she lives in this year. This year’s taxes were a 15% increase from last year. What did Emily pay in school taxes last year?
$244.38
The temperature is 3*F at 10:00PM… overnight the temperature drops 7 degrees…What is the temperature in the morning?
-4 degrees
A table shows the values: (5, 12.5); (10, 25), (15, 37.5) What is the constant of proportionality?
k=2.5
$30 for 2 1/2 hours of work
$12 per hour
Jonathan is building a rectangular fire pit in his yard. He dug a hole 30 inches by 30 inches. He decides to make each side of the pit 6 inches longer. What is teh percent increase in the area of the fire pit?
44% increase
$35.37
During a football game, Ryan had rushes of 12 yards, 6 yards, and 9 yard before losing 7 yards on a play. How many total yards did he gain during the game?
20 yards
A table shows the values (3, 9); (5, 15); (8, 24). Identify the constant of proportionality and what an equation for the situation.
k=3
y=3x
A scale drawing of a living room is 6 inches in length and 9.5 inches in width. The scale used to create this drawing is 1 in. = 2 ft. What is the area of the scale drawing? What is the area of the actual living room?
114 Ft
A puppy weighted 25 pounds at 4 months old and 31 points at 5 months old. What is the percent increase or decrease of the weight?
24% increase
Find the original price given the total amount and the tip rate.
$51.84, 20%
$43.20
Mr. Smith has an account balance of -$275.78. He deposits $539.20 into his account. Then pays his cable bill which is $137.59. What is Mr. Smith's account balance now?
$125.83