SOLUTION: Branford can be paid for his masonry work in one of two ways:
Plan A: $300 plus $9.00 per hour;
Plan B: Straight $12.50 per hour.
Suppose that the job takes n hours. For what
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Question 178585This question is from textbook intermediate algebra
: Branford can be paid for his masonry work in one of two ways:
Plan A: $300 plus $9.00 per hour;
Plan B: Straight $12.50 per hour.
Suppose that the job takes n hours. For what values of n is plan B better for Branford.
This is sets, inequalities, and interval notation.
This question is from textbook intermediate algebra
Found 2 solutions by Mathtut, solver91311:
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
Plan A: $300 plus $9.00 per hour;
Plan B: Straight $12.50 per hour.
Suppose that the job takes n hours. For what values of n is plan B better for Branford
:
cost of plan A= 9x+300. where n is the number of hours worked
:
cost of plan B=12.50x
:
we are looking for the value of N that makes Plan B better which means we want the cost to be cheaper or less than plan A'
:
12.50x<9x+300
:
3.5x<300
:
:
this means for any thing above 85.71 hours and Plan A will be cheaper....
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If he works under plan A for 
hours, then he will make
dollars.
Using Plan B he will make:
dollars.
Presuming that he will charge for a whole number of hours, we need to find the smallest integer that satisfies:
Add 
to both sides:
Multiply both sides by 
The next higher integer is 86.
So the answer is 
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