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.

(1 point)
is the better buy

Answer 1

To determine which option is the better buy, we can compare the cost per day for both options at various points.

Looking at the data points:

Option A:

• At 0 days: $0
• At 7 days: $21 ($3 per day)
• At 14 days: $42 ($3 per day)
• At 21 days: $63 ($3 per day)

Option B:

• At 0 days: $0
• At 5 days: $20 ($4 per day)
• At 10 days: $40 ($4 per day)
• At 15 days: $60 ($4 per day)

Cost per Day Comparison:

• For Option A, the cost per day remains $3 for any duration beyond the initial purchase.
• For Option B, the cost per day is $4 for any duration beyond the initial purchase.

Conclusion:

Since Option A offers a lower cost per day ($3) compared to Option B ($4), Option A is the better buy.

So the answer is 1 for Option A.