divide the two:
52.50 / 7 = 7.50 per hour
She should have added 2 to both sides of the equation instead of subtracting 2.
2x -2 = 14
Add 2 to both sides:
2x = 16
Divide both sides by 2:
x = 8
Step 1) Draw a dashed line through the points (0,6) and (4,7). These two points are on the line y = (1/4)x+6. To find those points, you plug in x = 0 to get y = 6. Similarly, plug in x = 4 to get y = 7. The dashed line indicates that none of the points on this line are part of the solution set.
Step 2) Draw a dashed line through (0,-1) and (1,1). These two points are on the line y = 2x-1. They are found in a similar fashion as done in step 1.
Step 3) Shade the region that is above both dashed lines. We shade above because of the "greater than" sign. This is shown in the attached image I am providing below. The red shaded region represents all of the possible points that are the solution set. Once again, any point on the dashed line is not in the solution set.
Answer:
The reason for the columns adding up to 1 is that each individual consumes a proportion or a fraction of the total quantity produced under each product category and every product is consumed. There is no leftover.
When the proportions of all the individuals are added up, the sum is always 1 under each product category because each individual can only consume a part of the whole.
Step-by-step explanation:
a) Data and Calculations:
Food Clothes Housing Energy High Quality 100
Proof Moonshine
Farmer 0.25 0.15 0.25 0.18 0.20
Tailor 0.15 0.28 0.18 0.17 0.05
Carpenter 0.22 0.19 0.22 0.22 0.10
Coal Miner 0.20 0.15 0.20 0.28 0.15
Slacker Bob 0.18 0.23 0.15 0.15 0.50
Total 1.00 1.00 1.00 1.00 1.00