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)
To find how many miles the whale swims in 16 days, we can use a proportional relationship. We can set up a proportional equation using the following approach:
Step 1: Find the rate at which the whale swims per day.
Divide the total distance (200 miles) by the number of days (5):
Rate = 200 miles ÷ 5 days = 40 miles/day
Step 2: Set up the proportional relationship using the rate from step 1.
Let's assume x represents the number of miles the whale swims in 16 days.
Therefore, we can set up the equation:
Rate = Distance ÷ Time
40 miles/day = x miles ÷ 16 days
Now, let's simplify the equation and solve for x.
Multiply both sides of the equation by 16:
16 * 40 miles/day = x miles
640 miles = x
So, the equation that could be used to find how many miles the whale swims in 16 days is: 640 miles = x.
Let's assume that the whale swims at a constant rate.
The equation that could be used to find how many miles the whale swims in 16 days can be determined using unit rates.
We can set up a proportion to solve this problem:
Distance/Time = Distance/Time
We know that the rate at which the whale swims is constant. Therefore, the ratio of distance to time will remain the same.
In this case, we can set up the equation:
200 miles / 5 days = x miles / 16 days
Now let's solve for x, the number of miles the whale swims in 16 days:
(200 miles * 16 days) / 5 days = x miles
3200 miles / 5 days = x miles
x = 640
So, the equation that could be used to find how many miles the whale swims in 16 days is:
x = 640
To find how many miles the whale swims in 16 days, we can use a proportion equation.
Let's set up a proportion using the given information:
Distance swum in 5 days / Time taken in 5 days = Distance swum in 16 days / Time taken in 16 days
Let's assign variables to the unknowns:
Let "x" represent the distance swum in 16 days.
Now we can write the proportion equation:
200 miles / 5 days = x miles / 16 days
Simplifying the equation, we get:
40 miles/day = x miles / 16 days
Cross-multiplying the equation, we get:
40 miles/day * 16 days = x miles
640 miles = x
So, the equation that could be used to find how many miles the whale swims in 16 days is:
x = 640 miles