Question

Wayne and Winston are scuba diving and are ascending to the surface. The function y = 30x − 105 represents Wayne’s elevation in feet in terms of the time in minutes he ascends. The table represents Winston’s elevation in feet in terms of the time in minutes he ascends. Assume that Wayne and Winston both ascend at a constant rate.

Answer 1

The function that represents Wayne´s elevation:
y = 30 x - 105
The function that represents Winston´s elevation:
- 100 = 0 m + b
b = -100
-16 = 3m - 100
3 m = 84
m = 84 : 3 = 28
y = 28 x - 100
Surface level: y = 0
Wayne:
0 = 30 x - 105
x = 3.5 minutes
Winston:
0 = 28 x - 100
x = 3.57 minutes
If they both ascend at the same rate, Wayne will be first to the surface.