Unit Rate
Find the unit rate.
234 miles on 9 gallons
26 miles per gallon
Tell whether the ratios form a proportion. (Show work)
12:22 and 18:33
Yes.
Both simplify to 6/11 and cross products equal 396
Solve for x.
15/24 = x/8
x = 5
How can we tell on a graph that x and y are in a proportional relationship?
The graphed line must be straight and go through the origin.
What is the decimal value of 4 11/16?
4.6875
Find the unit rate.
3/4 quart per 1/2 ounce
1 1/2 quarts per ounce
Tell whether the ratios form a proportion. (Show work)
7:4 and 17.5:10
Yes.
Cross products equal 70 and both ratios divide to be 1.75
Solve for k.
88/44 = k/52
k = 104
Identify the constant of proportionality.
A car travels 305 miles in 5 hours
k = 61
You pick 8𝑛 + 28 strawberries. Your friend picks 4𝑛 + 10 strawberries. How many more strawberries did you pick than your friend?
4n + 18
Find the unit rate.
1/2 ounce for every 2 cups
1/4 ounce per cup
Tell whether the rates form a proportion. (Show work)
350 calories in 2.5 servings; 425 calories in 3 servings
No.
Cross products equal 1050 and 1062.50.
350/2.5 = 140 and 425/3 = 141.6...
Solve for w.
8/6 = 4w/9
w = 3
What is the y-intercept in the equation y = 1.5x + 2?
2
What is the simplified expression of 5(2 - x) - 3(x + 2)?
4 - 8x
A 5-ounce can of tuna costs $0.90. A 12-ounce can of tuna costs $2.40. Which one is the better buy? Explain.
The 5-ounce can (unit rate is $0.18 per ounce, compared to the 12-ounce can being $0.20 per ounce).
You get $27 for doing 6 chores. Your friend gets $36 for doing 8 chores. Are the pay rates equivalent? Explain.
Yes.
Rates simplify down to 9/2 and cross products equal 216.
Swamp gas consists primarily of methane, a chemical compound consisting of a 1 : 4 ratio of carbon to hydrogen atoms. If a sample of methane contains 1200 hydrogen atoms, how many carbon atoms are present in the sample?
300 carbon atoms
Identify the constant of proportionality.
y = 3/4x
3/4
There are 5 blue marbles for every 3 yellow marbles in a bag. There are 24 yellow marbles in the bag. How many total marbles are in the bag?
64 total marbles
60 centimeters in 2.5 years; 30 centimeters in 15 months
Tell whether these rates are equivalents. Explain (show work).
Yes. 60 cm/30 months = 30 cm/15 months.
Tell whether the ratios form a proportion. (Show work)
1/2: 2 and 1/4:1/10
No.
1/2: 2 divides to be 1/4 and 1/4:1/10 divides to be 10/4.
Solve for h.
3/h - 3 = 6/8
h = 7
If the ordered pairs of (4, 12) and (9, 27) are in a proportional relationship and plotted on a graph, what is the constant of proportionality?
k = 3
What is the distance between -4 3/5 and 7 2/5 on a number line?
12