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.

Answer 1

To determine which option is the better buy, we can analyze the cost per day for each option based on the graphs you described.

For Option A:
- The cost increases by $21 for every 7 days.
- Cost breakdown:
- 0 days: $0
- 7 days: $21
- 14 days: $42
- 21 days: $63

For Option B:
- The cost increases by $20 for every 5 days.
- Cost breakdown:
- 0 days: $0
- 5 days: $20
- 10 days: $40
- 15 days: $60

Let's calculate the cost per day for both options over various periods:

1. **For 7 days**:
- A: $21 / 7 = $3 per day
- B: Cannot calculate as 7 days isn't a point for B.

2. **For 14 days**:
- A: $42 / 14 = $3 per day
- B: Cannot calculate as 14 days isn't a point for B.

3. **For 15 days**:
- A: Cannot calculate as 15 days isn't a point for A.
- B: $60 / 15 = $4 per day

4. **For 20 days**:
- A: Cannot calculate as 20 days isn't a point for A.
- B: $60 / 20 = $3 per day

**Conclusion**:
For the same number of days, the costs per day vary. However, based on the calculated costs:
- For 14 days, both options are around $3 per day.
- For 15 days, Option B costs $4 per day.
- Option A appears to provide a better deal for the examined periods (7 and 14 days).

Therefore, **Option A is the better buy**.

The answer is **1** for Option A.