Question

1. a kindergarten teacher bought $21 worth of stickers and cardstock for his class. the stickers cost $3.50 per pack and the cardstock cost $1.50 per sheet. the equation 21 = 3.5s+1.5c represents the relationship between the number of packs of cardstocks, c, and the dollar amount spent on these supplies. a. explain how we can tell that the given equation represents this graph. b. what do the vertical and horizontal intercepts, mean in this situation?

Explanation:

Step1: Recall the concept of intercepts

The vertical - intercept is the value of the function when the independent variable is 0. The horizontal - intercept is the value of the independent variable when the function is 0.

Step2: Identify the vertical intercept

On the graph, when the number of packs of cardstock (the independent variable on the x - axis) is 0, the number of sheets of stickers (the dependent variable on the y - axis) is 0. So the vertical intercept is 0. This means that if the teacher buys 0 packs of cardstock, she will have 0 sheets of stickers.

Step3: Identify the horizontal intercept

On the graph, when the number of sheets of stickers (the dependent variable on the y - axis) is 0, the number of packs of cardstock (the independent variable on the x - axis) is 14. So the horizontal intercept is 14. This means that if the teacher has 0 sheets of stickers, she has bought 14 packs of cardstock.

Answer:

The vertical intercept is 0, which means when the teacher buys 0 packs of cardstock, she has 0 sheets of stickers. The horizontal intercept is 14, which means when the teacher has 0 sheets of stickers, she has bought 14 packs of cardstock.