Question

A submarine dives 300 feet every 2 minutes, and 6,750 feet every 45 minutes. Solve for A and
b. A; Let X represent the time of the dive. Let Y represent the depth of the submarine. Write an equation for the proportional relationship using the rate in feet per minute.
B: If you wanted to find the depth of a submarine during a dive, would it be more reasonable to use an equation with the rate. per minute or feet per hour? Explain your reasoning.

Answer 1

A: To find the rate in feet per minute, we can use the information given. 
Every two minutes, the submarine dives 300 feet. So 
$\frac{300feet}{2minutes} = 150 \frac{feet}{minute}$ .
In order to confirm that our rate is correct, we can use the second set of information given.
$\frac{6750feet}{45minutes}$=$150 \frac{feet}{minute}$.
Since we know that the rate is 150 feet per minute, we can multiply it by any number of minutes and get the answer of how deep the submarine is. We can use a variable x to represent the number of minutes and y to represent the depth in feet.
$y=150x$
There's our equation.
B: It would be more reasonable to use an equation with the rate feet per minute because it is more accurate since the time interval isn't too big.