Proportional or Not
What are two characteristics of a graph that represents a proportional relationship between y and x?
Straight and through the origin
A landscaper is buying grass seed in bulk for his business. The grass seed costs $294.00 for 150 pounds. Which is closest to the cost of 400 pounds of the grass seed?
$784
Explain two ways you can solve for amount of tax, tip, and discount.
Equation: Change percent to decimal and multiply by total
Paul has a rectangular photograph that is 5 inches long and 3 inches wide. He wants to enlarge the photograph proportionally so that the new photograph will be 2 feet in length. What is the new width?
1 1/5 feet or 1.2 feet
Triangle SRT has sides of 2, 3, and 4 cm. Triangle SRT is similar to Triangle UVW. If Triangle UVW was enlarged by a scale factor of 1.5. What is the perimeter of UVW?
13.5 cm
How do you find the constant of proportionality?
y/x
y divided by x
A gold ring marked "18 karat" is 18 parts pure gold and 6 parts another metal. What percent of a ring marked "18 karat" is pure gold?
75%
Candace put $2200 into a savings account that pays a simple interest annual rate of 3.4%. How much money will her account be worth in 5 1/2 years?
$2611.40
Samantha needs to know the distance between Spring Valley and Riverdale. She is using a map with the scale 0.5 inch represents 30 miles. If the distance between the cities on Samantha's map is 6 inches, what is the actual distance in miles between the cities?
360 miles
Unit Rate is determined by the value of y when x is what?
One
A company discovered that 3 out of every 40 MP3 players they manufactured were defective. At this rate, how many MP3 players would the company expect to be defective out of a total of 3600?
270 would be expected to be defective.
Jan bought a pair of jeans for $89.95 and was charged 8.5% sales tax. How much money will she spend in all?
$97.60
A map of the United States has a scale of 3cm=900 miles. You measure from Denver to Atlanta and get 4 cm. What is the actual distance from Denver to Atlanta?
1200 miles
The number of miles your travel is proportional to the time it takes in hours. You can travel 120 in 2 hours. Create an equation to show the relationship between distance and time.
y = 60x
An 8 ounce container has 6 ounces of coffee and 2 ounces of milk. Another container has the same ratio of coffee to milk. If there are 15 ounces of coffee, how many ounces of milk are in the second container?
5 ounces
Your family spent $75.00 at LongHorn. If the restaurant applied 9.5% sales tax and you decided to give the server an 18% tip, how much did you pay for the meal?
$95.63
A model train is made using a scale of 1 inch = 8 feet. How long is the model if the real train is 60 feet long?
7 1/2 inches long
Explain how you determine if data in a table is proportional or not?
You take y and divide it by x. If all of the ratios are equivalent, then it is proportional.
You can check if it passes through the origin too
x = 0 when y = 0
A salt solution was made by mixing 4 pounds of salt with 10 gallons of water. At this rate, how many pounds of salt are required for 15 gallons of water?
6 pounds
RedBox increased their video rental price from $3.25 to $3.75. What is the percent of increase?
15%