Question

Write a proportion for each situation. Then solve

c. 25 yards in 2 1/2 seconds 100 yards in y second

d. 480 heartbeats in 4 minutes z heartbeats in 1 minute​

Answer 1

c. y = 10 secs.

d. z = 120 heartbeats

Explanation:

c. ratio and proportion:

25 yards = 100 yards

2.5 sec. y sec.

cross multiply:

100 (2.5) = 25 (y)

simplify:

y = 250 / 25

y = 10 secs.

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d. ratio and proportion:

480 heartbeats = z heartbeats

4 mins. 1 min.

cross multiply:

4 (z) = 480 (1)

simplify:

z = 480 / 4

z = 120 heartbeats

Answer 2

• c. x = 10
• d. z = 120

Explanation:

Given proportions

Equations as per ratio and solution for each

c. ..................................

• 25 ÷ 2 1/2 = 100 ÷ x
• 25 ÷ 5/2 = 100 ÷ x
• x = 100×5/2÷25
• x = 10

100 yards in 10 seconds

d. ..................................

• 480 ÷ 4 = z ÷ 1
• 120 = z
• z = 120

120 heartbeats in 1 minute