True or False: A solution to a Linear Inequality is any point in the shaded region?
1 answer:
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Answer:
Part A
2·a + b ≤ 14
Part B
Please find attached the graph of the inequality created with Microsoft Excel
Part C
1) 4 pounds of apples + 8 pounds of bananas
2) 8 pounds of apples + 6 pounds of bananas
Step-by-step explanation:
Part A
The amount Tony has to buy apples and bananas = $14
The cost of apples per pound = $2
The cost of bananas per pound = $1
Let 'a' and 'b' represent the number of apples and bananas Tony buys respectively, we have;
2·a + b ≤ 14
Part B
In order to plot the inequality, we make one of the variables the subject of the inequality as follows;
b ≤ 14 - 2·a
The above inequality can be plotted with Microsoft Excel and the feasible region shaded as shown in the attached diagram
Part C
Two possible combinations of pounds of apples and bananas that Tony can buy are;
1) 4 pounds of apples and 8 pounds of bananas which gives 2 apples and 8 bananas
2) 8 pounds of apples and 6 pounds of bananas which gives 4 apples and 6 bananas
