Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

this line represents the equation $2g + 3s = 20$. what does the point $…

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.

Explanation:

Brief Explanations

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.

Answer:

The point (7, 2) means that 7 pounds of grapes and 2 pounds of strawberries cost exactly 20 dollars.