Ratio and Rates
Find the unit rate.
180 miles in 3 hours
60 miles
Tell whether the ratios form a proportion.
1/3, 7/21
YES
Write a proportion to find how many points a student needs to score on the test to get the given score.
test worth is 50 points; test score of 78%
x/50 = 78/100
Write the ratio as a fraction in simplest form.
25 to 45
5/9
Tell whether the ratios form a proportion.
3/4, 24/18
NO.
You can by 3 T-shirts for $24. Write a proportion that gives the cost c of buying 7 T-shirts.
3/24 = 7/c
Find the product. List the units.
8h*$9/h
$72
Tell whether x and y are proportional.
- (1,7)
- (2,8)
- (3,9)
- (4,10)
NO.
Solve the proportion.
8/m = 6/15
m=20
It costs $68 for 16 square feet of flooring. How much does it cost for 12 square feet of flooring?
$51
Triangle 1 has a base of 15 cm with a height of 12 cm. Triangle 2 has a base of 10 cm, and a height of 8 cm. Are the heights and bases of the two triangles proportional?
YES.
TRUE or FALSE? Tell whether the statement is true or false.
If a/b = 2/3 then 3/2 = b/a
TRUE
A supplier sells 2 and 1/4 pounds of mulch for every 1 and 1/3 pounds of gravel. The supplier sells 172 pounds of mulch and gravel combined. How many pounds of each item does the supplier sell?
108 pounds of mulch, and 64 pounds of gravel
The ratio of quarters to dimes in a coin collection is 5:3. You add the same number of new quarters as dimes to the collection.
a. Is the ratio of quarters to dimes still 5:3?
b. If so illustrate your answer with an example. If not, show why with a counter example.
a. NO
b. Sample answer: If I add 10 of each coins, making the total number of quarters 50, and the number of dimes 30, then the new ratio of Q to D is 3:2.
Your friend says ¨48x=6*12.¨ Is your friend right? Explain.
NO, because you need to cross multiply.