A whale swims 200 miles in 5 days. Identify which equation could be used to find how many miles it swims in 16 days.(1 point)
Responses
y=40×16
y equals 40 times 16
y=200×16
y equals 200 times 16
200=16x
200 equals 16 x
y=200×16×5
The correct equation that could be used to find how many miles the whale swims in 16 days is:
y = 200 × (16/5)
Explanation: We know that the whale swims 200 miles in 5 days. To find how many miles it swims in 16 days, we can set up a proportion. Since the number of days is changing from 5 to 16, we need to multiply the distance by the ratio of the new number of days to the original number of days:
y = 200 × (16/5)
To find the equation that could be used to find how many miles the whale swims in 16 days, we need to consider the relationship between distance and time. Since we know that the whale swims 200 miles in 5 days, we can use this information to find the equation.
The equation that represents the relationship between distance and time is:
distance = rate × time
In this case, the distance is what we want to find and the time is 16 days.
Therefore, the equation that could be used to find how many miles the whale swims in 16 days is:
y = rate × time
Substituting the known values, the equation becomes:
y = 200 × 16
So, the correct equation is:
y = 200 × 16
To find how many miles the whale swims in 16 days, we can use the equation:
y = (200 miles / 5 days) × 16 days
Simplifying this equation, we have:
y = 40 miles/day × 16 days
Therefore, the correct equation is:
y = 40 × 16