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, let's analyze the costs per day for both options.

Option A:

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

The cost per day can be calculated as follows:

• Cost per day for 7 days = $21 / 7 = $3
• Cost per day for 14 days = $42 / 14 = $3
• Cost per day for 21 days = $63 / 21 = $3

So, for Option A, the cost per day remains constant at $3.

Option B:

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

The cost per day can be calculated as follows:

• Cost per day for 5 days = $20 / 5 = $4
• Cost per day for 10 days = $40 / 10 = $4
• Cost per day for 15 days = $60 / 15 = $4

So, for Option B, the cost per day is constant at $4.

Now, comparing the two options:

• Option A costs $3 per day.
• Option B costs $4 per day.

Since $3 < $4, Option A is the better buy.

The answer is 1 (Option A is the better buy).