Vocabulary
In y=kx; the k represents what?
constant of proportionality
A recipe says 2 cups of dry rice will serve 6 people. How many people will 10 cups of rice serve?
30 people
A plane flew 915 miles in 1.5 hours at a constant speed. How many miles does it fly in 1 hour?
610 miles
NO
Name two things that are always true about a graph of a proportional relationship.
Straight line, & goes through (0,0)
in y=kx, the y represents what?
dependent variable
A recipe uses 3 cups of rice to serve 9 people. How much rice do you need to serve 18 people?
6 cups
Sarah fills a cooler with 8 gallons of water in 5 minutes. Write an equation for g, the gallons after t minutes.
Which one is NOT a proportional relationship? y=7x y=x/3 or y=2.5x-5
y = 2.5x - 5
What value of x on a graph of a proportional relationship tells you the constant of proportionality?
When x=1
In y=kx, the x represents what?
independent variable
The same plane flies 330 miles from Albuquerque to Phoenix at 550 miles per hour. How many minutes does it take to fly 330 miles?
36 mins
Collection centers pay 5 cents for each bottle returned. Write an equation for how many bottles need to be returned to earn $100.
100= 0.05b
Handle's charges $6 for 8 oz of ice cream, $8 for 12 oz, and $10 for 16 oz. Is the price proportional to the size?
NO
Andre makes 10 balloon animals in 3 minutes. Jada makes 12 balloon animals in 5 mintues. Who works faster?
Andre
A proportional equation is always written in the form:
y = kx
A bakery uses 200 mL of coconut milk for every 360 g of flour. How many grams of flour go with 500 mL of coconut milk?
900 g
Vida runs 2 laps in 5 mins, 4 laps in 10 minutes, 6 laps in 15 minutes, and 8 laps in 20 min. Write an equation for time t in minutes after d laps.
t = 2.5d
It takes Ms. Jacobsen 1 hour to drive 65 miles. 2 hours to drive 130 miles and 3 hours to drive 200 miles. Is this proportional?
NO!!! Did you check 200/3?
Denali is 20,310 feet above sea level. There are 5,280 feet in a mile. About how many miles high is Denali?
about 3.85 miles
What is the unit rate?
the y value when x = 1
If a bakery uses 250mL of milk for every 400 g of flour. How much flour would you use for 100 mL of milk?
160 g of flour
A snail crawls 5 feet in 4 minutes. Write an equation for distance d in feet after 5 t minutes, and a second equation for t in terms of d.
d = 1.25t and t=0.8d
1.5 tests
The graph of a proportional relationship shows the cost, y, in dollars of x pounds of apples. The point (1, 3.5) is on the graph. What does this point mean?
1 pound of apples cost $3.50