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
y=200×16×5
y equals 200 times 16 times 5
200=16x
200 equals 16 x
y=200×16×5
you sure?
Apologies for the confusion. The correct equation to find how many miles the whale swims in 16 days would be:
y= (200/5) x 16
This equation accounts for the fact that the whale swims 200 miles in 5 days, and assumes that it swims at a consistent rate. Therefore, we divide the total distance swum (200 miles) by the number of days it took (5 days) to find the whale's average daily distance. We then multiply this average daily distance by the number of days (16) to find the total distance swum in 16 days.
The correct equation that can be used to find how many miles the whale swims in 16 days is y = 200 × 16.
To explain how we got this equation, we can start by observing the given information: the whale swims 200 miles in 5 days.
To find the rate at which the whale swims, we divide the number of miles by the number of days: 200 miles ÷ 5 days = 40 miles per day.
Since the whale swims at a rate of 40 miles per day, we can determine how many miles it swims in any given number of days by multiplying the rate by the number of days.
Therefore, to find how many miles the whale swims in 16 days, we can use the equation y = 40 × 16, where "y" represents the total number of miles.
However, there is an error in the given options. Option 2, y = 200 × 16, is incorrect because it multiplies the initial distance (200 miles) by the number of days (16) instead of multiplying the daily rate (40 miles) by the number of days (16).
So, the correct equation should be y = 40 × 16, not y = 200 × 16.