Question

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=2^x+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 Blank minutes, the total amount of water in both dunk tanks will be the same.The total amount of water at that minute will be Blank gallons.

Answer 1

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

Part b) The total amount of water at 6 minutes will be 65 gallons

Explanation:

we have

`w=2^(x)+1` ----> equation A

`w=10x+5}` ----> equation B

using a graphing tool

see the attached figure

Remember that the intersection point both graphs is the solution of the system of equations

The intersection point is (6,65)

therefore

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

Part b) The total amount of water at 6 minutes will be 65 gallons