Please Help answer all questions please. 1. Determine if 35:25 and 28:20 are proportional. Follow the steps below.
a. Rewrite the ratio 35:25 in simplest form.
b. Rewrite the ratio 28:20 in simplest form.
c. Are the ratios equivalent? Explain.
d. Are the ratios proportional? Justify your answers.
2. Is the following proportion true? Simplify both ratios to determine the answer.
26
18 =
39
36
a. Rewrite the ratio 26
18
in simplest form.
b. Rewrite the ratio 39
36
in simplest form.
c. Are the ratios equivalent? Explain.
d. Are the ratios proportional? Justify your answers.
3. Use cross-products to determine if 9.3
5.7
is proportional to 27.9
17.1
.
a. Determine the cross-products.
b. Are the ratios proportional? Explain.
4. The table below shows the number of basketball games and the total points scored by three
teammates.
Number of
Games Played
Total Points
Scored
Kiara 25 175
Cecilia 20 120
Kayleigh 15 105
a. Determine the ratio of total points scored to games played for each player.
b. Determine which two players’ points scored to games played ratios are proportional. Show
all work to justify your answer.
5. Michael Jordan made 7,327 of his 8,772 free-throw attempts, while Larry Bird made 3,960 of his
4,471 free-throw attempts.
a. Write the ratio of free throws made to attempts in fractional form for both players.
b. Are the two ratios proportional? Explain.
6. The table below shows the number of all-time wins and losses for three basketball teams.
Wins Losses
Team 1 2,222 1,916
Team 2 1,392 928
Team 3 2,289 1,526
a. Determine which two teams’ win/loss records are proportional. Show all work to justify your
answer.