Question

(Help i am struggling with this problem) Jason and Mark have volunteered to fill water into the two dunk tanks for their scout field days. The amount of water in Jason's dunk tank is represented by the equation below, where W represents the amount of water, in gallons, x minutes after he began to fill.

W= 2x+1

The amount of water in Mark's dunk tank is represented by the equation below, where W represents the amount of water, in gallons, x minutes after he began to fill.

W = 10x +5


Using graphing technology, complete the statements.


After _____
minutes, the total amount of water in both dunk tanks will be the same.

The total amount of water at that minute will be
____gallons.

Answer 1

After __-0.5___
minutes, the total amount of water in both dunk tanks will be the same.

The total amount of water at that minute will be
__0__gallons.


_____
In the context of the problem, this represents "no solution" as Mark's tank started with more water and is filling faster than Jason's tank.

Answer 2

After 6 minutes, the total amount of water in both dunk tanks will be the same.

The total amount of water at that minute will be

65 gallons

Explanation:

Jason's dunk tank is represented by the equation: W = 2^x + 1

Mark's dunk tank is represented by the equation: W = 10x +5

The plot of both equation are shown in the picture attached. The intersection of both equations is the solution to the problem.