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Answer :
Answer:
Proportionally , the constant is $0.40 the cost of the shell
Step-by-step explanation:
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Final answer:
Yes, there is a proportional relationship between the cost and the number of shells. The constant of proportionality, or the slope of the graph, represents the cost of each shell, which is $0.40.
Explanation:
In this situation, we can use a graph to represent the relationship between the cost and the number of shells. We will put the number of shells on the horizontal axis and the cost on the vertical axis. For Melanie, let's plot a point where 2 shells (on the horizontal) meet $0.80 (on the vertical), for Rosi a point where 3 shells meet $1.20, for Carlos a point where 4 shells meet $1.60. If the points line up on a straight line, it suggests a proportional relationship between the cost and the number of shells. The slope of the line, or the
constant of proportionality
, represents how much each shell costs. In this case, the slope is $0.40 (since 0.80/2 = 0.40, 1.20/3 = 0.40 and 1.60/4 = 0.40), so each shell costs $0.40.
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