This graph represents the given equation because each point on the graph corresponds to a combination of stickers and cardstock that satisfies the equation.
The vertical intercept means when the teacher buys zero sheets of stickers (s = 0), the only expense is on cardstock.
The horizontal intercept, which means when the teacher buys zero packs of cardstock, the only expense is on stickers.
What does the graph show ?
The term 1.5s represents the cost of the stickers. For each sheet of stickers (s), it costs $1.50. The term 3.5c represents the cost of the cardstock. For each pack of cardstock (c), it costs $3.50.
The equation as a whole states that the total cost of stickers and cardstock combined is equal to $21.
The teacher spends the entire $21 on cardstock (c = 6 packs). So, this point represents the scenario where the teacher buys only cardstock and no stickers.
The vertical intercept (0, 6) and horizontal intercept (14, 0) on the graph correspond to the extreme cases where the teacher spends all the money on one type of supply (either stickers or cardstock) and none on the other.