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Question
this line represents the equation $2g + 3s = 20$. what does the point $(7, 2)$ mean in this situation?
the point $(7, 2)$ means that 7 pounds of grapes cost 2 dollars.
the point $(7, 2)$ means that 7 pounds of grapes and 2 pounds of strawberries cost exactly 20 dollars.
First, identify the variables: the x-axis (g) is pounds of grapes, y-axis (s) is pounds of strawberries. The equation $2g + 3s = 20$ represents a total cost of 20 dollars. Substitute $g=7$ and $s=2$ into the equation: $2(7) + 3(2) = 14 + 6 = 20$, which matches the total cost. This point represents a combination of grapes and strawberries that sums to the total cost.
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The point (7, 2) means that 7 pounds of grapes and 2 pounds of strawberries cost exactly 20 dollars.