Unit Rates & Proportions Unit Test
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Question
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=200×16
y equals 200 times 16
y=200×16×5
y equals 200 times 16 times 5
y=40×16
y equals 40 times 16
200=16x
200 equals 16 x
The correct equation that could be used to find how many miles the whale swims in 16 days is: y=40×16. This equation represents the constant rate of 40 miles per day multiplied by the number of days (16).
The correct equation to find how many miles the whale swims in 16 days is:
y = 200 × 16 ÷ 5
Explanation: Since the whale swims 200 miles in 5 days, we need to find the number of miles it swims in 16 days. To do this, we divide 16 by 5 and multiply it by 200.
To answer this question, you need to understand the concept of unit rates.
A unit rate is a ratio that compares two different units. In this case, the unit rate is the number of miles the whale swims in a day.
To find the unit rate, you divide the total number of miles by the number of days. In this case, the whale swims 200 miles in 5 days, so the unit rate is 200 miles divided by 5 days, which is 40 miles per day.
Now, you need to find how many miles the whale swims in 16 days. Since the unit rate is 40 miles per day, you can multiply the number of days (16) by the unit rate (40) to find the total number of miles.
So the equation that could be used to find how many miles the whale swims in 16 days is y = 40 × 16.