Final answer:
Maya can kayak 3 3/4 kilometers in 30 minutes, which converts to a speed of 0.125 km/min. Multiplying this speed by 44 minutes gives us a distance of 5.5 kilometers, so Maya can kayak 5.5 kilometers in 44 minutes.
Step-by-step explanation:
The question involves finding out how many kilometers Maya can kayak in a given period, based on her known speed over a different period. Maya can kayak 3 3/4 kilometers in 30 minutes. To find out how far she can kayak in 44 minutes, we need to calculate her speed in kilometers per minute and then use that speed to estimate the distance for 44 minutes.
First, convert Maya's distance into a decimal for easier calculation, which is 3.75 kilometers in 30 minutes. Therefore, her speed is 3.75 km / 30 min = 0.125 km/min. Now, we can calculate the distance she can cover in 44 minutes by multiplying her speed by the time: 0.125 km/min * 44 min = 5.5 kilometers.
Therefore, at Maya's current rate, she would be able to kayak 5.5 kilometers in 44 minutes.
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".