Question

A kindergarten teacher bought $21 worth of stickers and cardstock for his class. The stickers cost $1.50 a sheet and the cardstock cost $3.50 per pack. The equation 1.5s+3.5c=21 represents the relationship between sheets of stickers, s, packs of cardstocks, c, and the dollar amount a kindergarten teacher spent on these supplies.

1. Explain how we can tell that this graph represents the give equation.

2. What do the vertical and horizontal intercepts, (0,6) and (14,0), mean in this situation?

Answer 1

Explanation:

Teacher bought $21 worth of stickers and cardstock for his class.

Cost of stickers = $1.50 per sheet

Cost of 's' sheets = $1.5s

Cost of cardstock = $3.50 per pack

Cost of 'c' packs = $3.5c

Equation representing the relationship between sheet of stickers and packs of cardstocks will be,

1.5s + 3.5c = 21

3.5c = -1.5s + 21

1).
`c=-(3)/(7)x+6`

y-intercept of the line → (0, 6)

x-intercept of the line → (14, 0)

Therefore, equation of the line represents the line on the graph.

2). Vertical intercept (0, 6) represents that he can purchase maximum 6 packs of cardstock with $21.

Similarly, horizontal intercept (14, 0) represents that he can purchase maximum 14 sheets of stickers with $21.