Use the image to answer the question.

Question

An illustration shows two graphs depicting cost per day in dollars for options A and B. The first graph shows cost per day in dollars for option A. The horizontal axis shows days ranging from 0 to 28 in increments of 7. The vertical axis shows the cost in dollars ranging from 0 to 70 in increments of 7. Four data points are plotted on the graph at left parenthesis 0 comma 0 right parenthesis, left parenthesis 7 comma 21 right parenthesis, left parenthesis 14 comma 42 right parenthesis, and left parenthesis 21 comma 63 right parenthesis. A line connects all the data points. The second graph shows cost per day in dollars for option B. The horizontal axis shows days ranging from 0 to 20 in increments of 5. The vertical axis shows the cost in dollars ranging from 0 to 60 in increments of 20. Four data points are plotted on the graph at left parenthesis 0 comma 0 right parenthesis, left parenthesis 5 comma 20 right parenthesis, left parenthesis 10 comma 40 right parenthesis, and left parenthesis 15 comma 60 right parenthesis. A line connects all the data points.

Two options for passes to ride public transportation are displayed in the graphs. Is Option A or Option B the better buy? Choose 1 for Option A and 2 for Option B.

(blank) is the better buy.

Answer 1

To determine which option is the better buy, we can compare the cost per day for each option over the overlapping period of days available in both graphs.

From the graphs:

Option A:

• Cost after 0 days: $0
• Cost after 7 days: $21
• Cost after 14 days: $42
• Cost after 21 days: $63

Option B:

• Cost after 0 days: $0
• Cost after 5 days: $20
• Cost after 10 days: $40
• Cost after 15 days: $60

To compare, we can calculate the cost per day for each option:

Cost per day for Option A:

• 0 days: $0 / 0 = $0
• 7 days: $21 / 7 = $3
• 14 days: $42 / 14 = $3
• 21 days: $63 / 21 = $3

Cost per day for Option B:

• 0 days: $0 / 0 = $0
• 5 days: $20 / 5 = $4
• 10 days: $40 / 10 = $4
• 15 days: $60 / 15 = $4

From this analysis, we see that:

• For Option A, the cost per day is consistently $3.
• For Option B, the cost per day is consistently $4.

Since Option A has a lower cost per day overall, Option A is the better buy.

Therefore, the answer is 1 for Option A.

1 is the better buy.