Question

hint:%20the%20constant%20of%20proportionality%20means%20you%20are%20solving%20for%20how%20many%20feet%20a%20diver%20descends%20in%201%20minute.%20Set%20up%20your%20equation%20as%20%22feet(y)/minutes(x)%22%20to%20find%20the%20constant%20of%20proportionality.%C2%A0%0A*%0A10%20points%0A%0A3/2%0A1/16%0A24%0A16

Answer 1

To find the constant of proportionality for how many feet a diver descends in 1 minute, you would typically set up a ratio of feet to minutes.

Let's define:
- \( y \) = feet descended
- \( x \) = minutes

The equation will take the form:

\[
\frac{y}{x} = k
\]

where \( k \) is the constant of proportionality (feet per minute).

From the information given, you want to determine how many feet the diver descends in 1 minute. If you have specific values for foot descent at certain times, you can substitute those values into the equation to find \( k \).

Assuming that you mentioned some potential values (3/2, 1/16, 24, 16), let's check which, if any, could represent the constant of proportionality.

If \( x = 1 \) minute:
- For \( y = 3/2 \): \( \frac{3/2}{1} = 1.5 \)
- For \( y = 1/16 \): \( \frac{1/16}{1} = 0.0625 \)
- For \( y = 24 \): \( \frac{24}{1} = 24 \)
- For \( y = 16 \): \( \frac{16}{1} = 16 \)

So, the constants you would have are 1.5, 0.0625, 24, and 16 feet descended per minute. Among these values, the highest value (and likely the correct answer) representing how many feet a diver descends in 1 minute could be \( 24 \) feet, assuming that it represents the maximum or standard descent rate for divers.

So, if you're looking for the constant of proportionality as the feet descended in 1 minute, it is likely \( 24 \) feet.