Question

The table shows the sales of bagels and pretzels with respect to the time. Which of the following graph represents the correct proportional relationship?

Bagels
Number of sales	100	200
Time (in days)	2	4

Pretzels
Number of sales	100	200
Time (in days)	5	10

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

Bagels
Number of sales	100	200
Time (in days)	2	4
$\frac{\text{Number of sales}}{\text{Time(in days)}}$	$\frac{100}{2}=50$	$\frac{200}{4}=50$

Pretzels
Number of sales	100	200
Time (in days)	5	10
$\frac{\text{Number of sales}}{\text{Time(in days)}}$	$\frac{100}{5}=20$	$\frac{200}{10}=20$

From both the tables, we can observe that the $\frac{\text{Number of sales}}{\text{Time (in days)}}$ is constant.
Option A:
The coordinates of the graph, (2, 100) and (4, 200), do not correspond to the values of the pretzels given in the table. Hence, the graph is not correct.

Option B:
The graph does not pass through the origin; hence, it does not represent a proportional relationship.

Option C:
The graph does not pass through the origin; hence, it does not represent a proportional relationship.

Option D:
The coordinates of the graph, (2, 100) and (4, 200), correspond to the values of bagels given in the table.
The graph is also a straight line and passes through the origin.
Hence, it represents the correct proportional relationship.