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

The angle ratio will be around 252

Answer 2

y + 10x - 62 = 0

Explanation:

Let the linear relation between the two variables be given by y=mx + c

Now we put the values to get the constants.

58 = 2m + c

52 = 5m + c

solving we get :

52 - 5m = 58 - 2m

or, -6 = 3m

or, m = -2

Now we put those values in the equations

52 = 5m + c

or, 52 = -10 + c

or, c = 62

The equation relating the sunglasses is y + 10x - 62 = 0 .