Use the image to answer the 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.
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In order to determine which option is the better buy, we need to compare the cost per day for each option. Looking at the graphs, we can see that the cost per day for option A is increasing linearly, while the cost per day for option B is constant.
The cost per day for option A at day 0 is $0, at day 7 is $21, at day 14 is $42, and at day 21 is $63.
The cost per day for option B at day 0 is $0, at day 5 is $20, at day 10 is $40, and at day 15 is $60.
Comparing the costs, we can see that the cost per day for option A is always higher than the cost per day for option B at each corresponding day. Therefore, Option B is the better buy.
Therefore, the answer is 2.
To determine which option is the better buy, we need to compare the cost per day for both options.
Looking at the graphs, we can see that Option A has a cost per day of $21 on day 7, $42 on day 14, and $63 on day 21. These costs increase linearly with time.
On the other hand, Option B has a cost per day of $20 on day 5, $40 on day 10, and $60 on day 15. These costs also increase linearly with time, but at a slower rate compared to Option A.
Based on this information, we can conclude that Option B is the better buy.