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Gary has a collection of stamps. He tracks the number of stamps he collects every week. If x represents the number of weeks since he starts tracking and y represents the total number of stamps in his collection, which of the following situations is represented by the graph below?

Gary initially has 40 stamps. He collects 20 stamps every week.
B. Gary initially has 40 stamps. He collects 15 stamps every week.
C. Gary initially has 40 stamps. He collects 5 stamps every week.
D. Gary initially has 40 stamps. He collects 60 stamps every week.

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husseinalaaldin husseinalaaldin · Answer 1 · 2020-11-10T19:58:30+01:00

Answer:

the answer is c your welcome

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PratikshaS PratikshaS · Answer 2 · 2022-06-30T16:56:53+02:00

The graph represents following situation: Gary initially has 40 stamps. He collects 5 stamps every week.

The correct answer is an option (C)

"It describes how one quantity changes in relation to another quantity."

"It is a set of points (x, y) that follows certain rule."

For given question,

We have been given a graph.

x represents the number of weeks since Gary starts tracking and y represents the total number of stamps in Gary's collection.

From the graph we can observe that initially he has 40 stamps.

We need to rate of stamp collection.

From the graph, the points (4, 60) and (8, 80) lie on the graph.

So, the rate of change would be,

[tex]\frac{80-60}{8-4}=5[/tex]

This means, he collects 5 stamps every week.

Therefore, the graph represents following situation: Gary initially has 40 stamps. He collects 5 stamps every week.

The correct answer is an option (C)

Learn more about the rate of change here:

https://brainly.com/question/12786410

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