Question

1. a team won 10 games and lost 7 games. what was this teams ratio of wins to losses?

a. 10 to 16
b. 10 to 7
c. 10 to 3
d. 7 to 10

1. there are 30 baseball cards in 5 packs. what is the rate of cards per bag? note: rate of cards per bag means unit rate.

a. 6 cards to 1pack
b. 5 cards to 1 pack
c. 1 pack to 6 cards
d. 1 pack to 5 cards

1. a jar contains 12 red marbles and 6 blue marbles. what is the ratio of blue marbles to red marbles in the jar?

a. 3:5
b. 3:2
c. 1:2
d. 2:3

1. a model of a car is 5 inches long. the actual car is 14 feet long. what is the ratio of the models length to the actual length of the car?

a. 5:14
b. 5:168
c. 14:5
d. 14:5

1. what is a unit rate?

a. is rate that makes a comparison to 1 unit
b. is rate that makes a comparison to 2 unit
c. is a ratio that compares two quantities that have different units of measure
d. is a ratio that compares two quantities that have same units of measure

1. 3.899 rounded to 2 decimal places is

Explanation:

1.

Step1: Understand ratio of wins to losses

Ratio of wins to losses is wins : losses. Wins = 10, losses = 7. So ratio is 10:7.

2.

Step1: Calculate unit rate

Unit rate (cards per pack) = total cards / total packs. Total cards = 30, total packs = 5. So \( \frac{30}{5}=6 \) cards per pack.

3.

Step1: Find ratio of blue to red marbles

Blue marbles = 6, red marbles = 12. Ratio is \( \frac{6}{12}=\frac{1}{2}=1:2 \).

4.

Step1: Convert units

1 foot = 12 inches. Actual car length = 14 feet = \( 14\times12 = 168 \) inches. Model length = 5 inches. Ratio is 5:168.

5.

Step1: Recall unit - rate definition

Unit rate is a rate that makes a comparison to 1 unit.

Answer:

1. B. 10 to 7
2. A. 6 cards to 1 pack
3. C. 1:2
4. B. 5:168
5. A. Is rate that makes a comparison to 1 unit