Answer :
Let's solve the problem step-by-step to determine which option represents an equivalent ratio.
First, we need to find the ratio of feet to minutes for the farm tractor moving 600 feet in 15 minutes. This ratio is:
[tex]\[ \frac{600}{15} = 40 \text{ feet per minute} \][/tex]
Now, we need to find out which among the given choices has the same ratio.
Option A: 160 feet in 4 minutes
[tex]\[ \frac{160}{4} = 40 \text{ feet per minute} \][/tex]
This matches the original ratio of 40 feet per minute.
Option B: 200 feet in 6 minutes
[tex]\[ \frac{200}{6} \approx 33.33 \text{ feet per minute} \][/tex]
This does not match the original ratio.
Option C: 150 feet in 60 minutes
[tex]\[ \frac{150}{60} = 2.5 \text{ feet per minute} \][/tex]
This does not match the original ratio.
Option D: 90 feet in 8 minutes
[tex]\[ \frac{90}{8} = 11.25 \text{ feet per minute} \][/tex]
This does not match the original ratio.
Therefore, the correct answer is:
Option A: 160 feet in 4 minutes.
First, we need to find the ratio of feet to minutes for the farm tractor moving 600 feet in 15 minutes. This ratio is:
[tex]\[ \frac{600}{15} = 40 \text{ feet per minute} \][/tex]
Now, we need to find out which among the given choices has the same ratio.
Option A: 160 feet in 4 minutes
[tex]\[ \frac{160}{4} = 40 \text{ feet per minute} \][/tex]
This matches the original ratio of 40 feet per minute.
Option B: 200 feet in 6 minutes
[tex]\[ \frac{200}{6} \approx 33.33 \text{ feet per minute} \][/tex]
This does not match the original ratio.
Option C: 150 feet in 60 minutes
[tex]\[ \frac{150}{60} = 2.5 \text{ feet per minute} \][/tex]
This does not match the original ratio.
Option D: 90 feet in 8 minutes
[tex]\[ \frac{90}{8} = 11.25 \text{ feet per minute} \][/tex]
This does not match the original ratio.
Therefore, the correct answer is:
Option A: 160 feet in 4 minutes.
