Write out the governing equation:
y = kx.
Take any point from the given table. You haven't shared the table, so I will invent a point: (2, 9).
Then find k: k = 9/2 Then the equation becomes y = (9/2)x.
Now let x = 7 and find y: y = (9/2)(7) = 63/2
Answer: y = 63/2
We are given with the formula
p = 200k - 500
a) The constraint for this formula is obtained from the idea that the profit must be positive
200k - 500 > 0
k > 500/200
k > 2.5
b) To make 14000 profit
14000 = 200k - 500
k = 72.5 or 73 knives must be sold
Subtract 3 from each side to isolate the x and you get x=y-3
The answer is 48. I'm sorry I can't explain cuz it's a long process
Part 1: 4 quarts in a gallon
4 * 5 = 20 quarts
Part 2: 20 * 2 = 40
They will make $40.00