Question

Amy and Sebastian leave the park at the same time and ride their bikes at their current rates back toward their homes How far apart are they, to the nearest tenth of a mile after 14 minutes? A 0.5 B 1.1 C 3.6 D 6.0

Answer 1

Answer: We need to know the distance each person is from the park to solve this problem. Let's call Amy's distance from the park "A" and Sebastian's distance from the park "S".

We can start the problem by using the formula distance = rate × time. Let's assume Amy's rate is "a" and Sebastian's rate is "s". Then, after 14 minutes, we have:

Amy's distance from the park = a × (14/60) miles

Sebastian's distance from the park = s × (14/60) miles

Now, we need to find the difference between their distances:

|A - S| = |a × (14/60) - s × (14/60)|

We don't have enough information to calculate a and s, but we can use the answer choices to estimate the distance. Let's plug in each answer choice and see which one gives us the closest value:

A. 0.5 miles:

|A - S| = |a × (14/60) - s × (14/60)| = |0.5 - 0| = 0.5 miles

B. 1.1 miles:

|A - S| = |a × (14/60) - s × (14/60)| = |1.1 - 0| = 1.1 miles

C. 3.6 miles:

|A - S| = |a × (14/60) - s × (14/60)| = |3.6 - 0| = 3.6 miles

D. 6.0 miles:

|A - S| = |a × (14/60) - s × (14/60)| = |6.0 - 0| = 6.0 miles

The closest answer choice is B, which gives us a distance of 1.1 miles. Therefore, the answer is B.