Brody is purchasing some tools for his workshop. he has a budget of $120 and needs to buy at least 14 tools. each hammer costs $10, and each wrench costs $6. if the solution region represents the number of hammers and wrenches that brody can buy given his budget, determine which graph represents the solution set to the system of inequalities representing this situation.

For this case, the first thing we must do is define variables:
 x: number of hammers
 y: number of wrenches
 We write the system of inequations:
 10x + 6y <= 120
 x + y> = 14
 We graph the system of inequations.
 The solution set is given by the shaded region of the graph.
 
 see attached image.

The graph in the attached figure

Step-by-step explanation:

Let

x------> the number of hammers

y------> the number of of wrenches

we know that

-----> inequality A

-----> inequality B    

using a graphing tool

The solution of the system of inequalities is the shaded area  

see the attached figure

Percentage increase in the rate of all rail season tickets to London = 4%
Price of the rail ticket from Cambridge to London increased by = 121.60
Let us assume the price before the increase in the fare = x
Then
4% * x = 121.60 dollars
(4/100) * x = 121.60 dollars
x/25 = 121.60 dollars
x = 25 * 121.60 dollars
   = 3040 dollars
So the price of the ticket from Cambridge to London before the increase in price was 3040. I hope the procedure is simple enough for you to understand.