Question

Patty Patriot's sister gave Patty her collection of glass animal figurines when she left for college. At

that time the value of the whole collection was $70. Patty has since then bought new glass figurines
for $5 each. We want to write an equation to model the relationship between the total value of the
collection and the number of figurines Patty has bought. What is the slope of the model that represents the relationship between the total value of the collection and the number of figurines Patty has bought?
A) 5
B) 70
C) -5
D) 0

Answer 1

The slope of the model representing the relationship between the total value of the collection and the number of figurines Patty has bought is $5, since the value increases by $5 with each figurine.

Step-by-step explanation:

The question is asking us to identify the slope of the model that represents the relationship between the total value of the collection and the number of figurines Patty has bought. The value of the collection increases by $5 with each additional figurine bought. Therefore, the slope of the model, which is the rate of change of the total value of the collection with respect to the number of figurines bought, is $5. This is because for each new figurine bought, Patty spends an additional $5, so the slope of the line that models this relationship is positive $5.