<u>Answer:</u>
a) The equation to model the situation is 8.8 m/min
t minutes = 32.12 m
b) The reason to write distance as positive number is because he is ascending to point zero
c) It took 3.65 minutes for scuba driver to reach the surface
<u>Solution:</u>
Given, A scuba diver was exploring a reef 32.12 m below sea level. The diver ascended to the surface at a rate of 8.8 m/min.
<u><em>(a) Write an equation to model the situation. </em></u>
If the diver ascends at 8 m/min from 32.12 below sea level we can write an expression if d is the distance, t is the time and r is the rate. This expression can calculate the distance he is below sea level, the rate or the time it takes to reach the surface.
Using the formula d = rt, so 32.12 m = 8.8m/min
(t) time minutes
<u><em>b) Explain why it is reasonable to write the distance, d, as a positive number.</em></u>
We can write the distance as a positive number because the diver is 32 m below sea level and he is ascending and not descending below that point. Which means he is ascending to point zero.
<u><em>(c) How long did it take the diver to reach the surface?</em></u>
We can calculate the time with the expression d = rt

The time it takes to reach the surface is 3.65 mins.
Hence, a) 32.12 m = 8.8 m/min x t minutes, b) because he is ascending to point zero, c) 3.65 minutes.