Answer:
Step-by-step explanation:
A. The first inequality is graphed as a shaded area below the solid line with x-and y-intercepts of 7.5 and 5, respectively. The second inequality is graphed as a shaded area above the solid line with x- and y-intercepts of 3.
The solution set is the set of integer-valued grid points one or between the lines.
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B. The point (5, 1) is included in the solution area. Mathematically, it can be shown to satisfy the two inequalities:
2(5) +3(1) ≤ 15 ⇒ 13 ≤ 15 True
(5) +(1) ≥ 3 ⇒ 6 ≥ 3 True
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C. The point (5, 1) is in the solution set. It means Michael can purchase 5 sandwiches and 1 hot lunch within his budget constraints. That will provide 6 meals, which is more than the minimum of 3 that he wants to provide.
The correct answer is A: 2.
The slope compares the vertical change (the rise) to the horizontal change (the run) when moving from one fixed point to another along the line.
If you look at your graph, it takes 2 units up and 1 unit to the right in order to get to the next point on the line.
Therefore, the slope of the line is 2/1, or simply 2. It has a positive value because the line is sloping upward.
There are 160,934.4cm in a mile.
1ft.= 30.48cm
1 mile= 5280ft.
5280tf.(30.48cm)= 160,934.4cm