Questions: Katherine is having cloth napkins embroidered with her initials. The cost for the embroidery is 4.50 per napkin. Which graph represents the total cost for embroidering x napkins? w. Y. X. Z.

Solution Steps

The problem states that the cost for embroidering is $4.50 per napkin.

Since the cost is $4.50 per napkin, the total cost increases by $4.50 for every additional napkin. On the graph, this should be represented by a line passing through the origin (0,0) and having a slope of 4.5.

When x (number of napkins) = 1, y (cost) should be 4.5. When x=2, y should be 9.0. When x=3, y should be 13.5.

Graphs X, Y, and Z all pass through (0,0). Graph W passes through (1,3), (2,6) and (3,9). So it is incorrect. Graph X passes through (1,3), (2,6) and (3,9). So it is incorrect. Graph Y passes through (1,6), (2,12) and (3,18). So it is incorrect. Graph Z passes through (1,4.5), (2,9) and (3,13.5). So it represents the cost of napkins correctly.

Final Answer