Question

tell whether the two rates form a proportion. (section 5.2)

1. 75 miles in 3 hours; 140 miles in 4 hours
2. 12 gallons in 4 minutes; 21 gallons in 7 minutes
3. 150 steps in 50 feet; 72 steps in 24 feet
4. 3 rotations in 675 days; 2 rotations in 730 days

Explanation:

Problem 8:

Step1: Find unit rates

For 75 miles in 3 hours: $\frac{75}{3} = 25$ mph.
For 140 miles in 4 hours: $\frac{140}{4} = 35$ mph.

Step2: Compare unit rates

25 ≠ 35, so they don't form a proportion.

Step1: Find unit rates

For 12 gallons in 4 minutes: $\frac{12}{4} = 3$ gal/min.
For 21 gallons in 7 minutes: $\frac{21}{7} = 3$ gal/min.

Step2: Compare unit rates

3 = 3, so they form a proportion.

Step1: Find unit rates

For 150 steps in 50 feet: $\frac{150}{50} = 3$ steps/ft.
For 72 steps in 24 feet: $\frac{72}{24} = 3$ steps/ft.

Step2: Compare unit rates

3 = 3, so they form a proportion.

Answer:

No

Problem 9: