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.
1 answer
Looking at the graphs, for Option A, the cost per day starts at $0 and increases by $21 for every 7 days. Thus, the cost per day for Option A is $21/7 = $3.
For Option B, the cost per day starts at $0 and increases by $20 for every 5 days. Thus, the cost per day for Option B is $20/5 = $4.
Comparing the cost per day, we can see that Option A has a lower cost per day ($3) compared to Option B ($4). Therefore, Option A is the better buy.