Question

A eyeglasses store is checking their inventory. The table shows the relationship between the number of days since the opening of the eyeglasses store and the total amount of sunglasses in their inventory.

Sunglasses Inventory
Number of Days Total Amount of Sunglasses
2 52
5 46
7 42
10 36


Which graph shows the relationship given in the table?
graph with the x axis labeled number of days and the y axis labeled total amount of sunglasses and a line going from the point 0 comma 52 through the point 1 comma 50
graph with the x axis labeled number of days and the y axis labeled total amount of sunglasses and a line going from the point 0 comma 56 through the point 1 comma 54
graph with the x axis labeled number of days and the y axis labeled total amount of sunglasses and a line going from the point 0 comma 52 through the point 1 comma 49
graph with the x axis labeled number of days and the y axis labeled total amount of sunglasses and a line going from the point 0 comma 56 through the point 1 comma 53

Answer 1

Answer: Based on the given table, the relationship between the number of days since the opening of the eyeglasses store and the total amount of sunglasses in their inventory can be visualized with a graph.

To determine the correct graph, we need to consider the points given in the table.

The table shows that on day 2, the total amount of sunglasses in the inventory is 52. As the number of days increases, the total amount of sunglasses decreases.

Looking at the options provided, we can see that the graph with the x-axis labeled number of days and the y-axis labeled total amount of sunglasses, and a line going from the point (0, 52) through the point (1, 50) accurately represents the relationship given in the table.

Therefore, the correct graph is the one described in the first option:

- graph with the x-axis labeled number of days and the y-axis labeled total amount of sunglasses

- a line going from the point (0, 52) through the point (1, 50).

Please note that it is important to carefully analyze the data given in the table and compare it to the options provided to determine the correct graph representation.

Explanation: