Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
1 point
1
Question 1
1.
Which table of values represents a proportional relationship between x and y?
**You must show some calculations or written explanation in the SYW section to receive points**
Select ALL that apply
1 point
1
Question 2
2.
Which ordered pairs represent a proportional relationship between x and y?
Hint: Make a table if you're stuck, determine if the pairs are proportional.
An example for making a table out of the first pair of points is below:
1 point
1
Question 3
3.
What graph shows a proportional relationship between x and y? Select ALL that apply
7.RP.1
Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.
1 point
1
Question 4
4.
In a recipe for salad dressing, the ratio of olive oil to vinegar is 4 to 2. Which ratios are equivalent to 4 tablespoons of olive oil to 2 tablespoons of vinegar? Select all that apply.
1 point
1
Question 5
5.
Anthony is starting his own beehive so that he can have fresh honey straight from the hive.
Anthony decides to check the a population of bees in the hive by marking 22 bees of his 220 with special bee-marking paint. Later, Anthony marks his second bee population, however this population only has 90 bees in the popluation.
To the nearest whole number and using the same proportional relaltionship, what is the best estimate for how many bees Anothony should mark?
1 point
1
Question 6
6.
An ornithologist who specializes in seagulls decides to estimate the seagull population in his local area. To do so, he traps 26 seagulls and marks them.
After releasing the seagulls and waiting a bit, he traps 130 seagulls and observes that 13 of them are marked.
To the nearest whole number and using the same proportional relaltionship, what is the best estimate for the seagull population?
7.RP.2c: Represent proportional relationships by equations
1 point
1
Question 7
7.
Ever since Damon was a small child, his favorite food has always been carrots. He likes them so much he wants to plant a garden in his backyard just to grow carrots.
There is a proportional relationship between the size of Damon's garden (in square feet),
x, and the number of carrots he can grow at a time, y.
Simplify any fractions. Write an equation for the relationship between x andy.
2 points
2
Question 8
8.
King High School has asked Krysta to paint some murals around the school, and Krysta is thrilled! Her mural in the main office will show a ray of sunlight breaking through storm clouds. Krysta creates the perfect gray for storm clouds.Krysta mixes together.There is a proportional relationship between the number of cans of black paint,x,and the number of cans of white paint,y,
a. Simplify any fractions.Write an equation for the relationship between x andy.
b. How many cans of white paint will they need for a mural using 10 cans of black paint?
2 points
2
Question 9
9.
Sophie's space shuttle crew accidentally left her behind on a mysterious planet. She soon realizes that her body is aging much faster on this planet than it did on Earth. There is a proportional relationship between the number of weeks Sophie spends on the planet, x, and the number of years she ages, y.
After 3 weeks on the planet, Sophie's body has aged 6 years.
a. Write the equation for the relationship between x and y.
b. If Sophie stays on the plant 12 weeks, how much will her body age?