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A coffee shop offers two yearly options for frequent customers. With Option 1, customers pay only $1 per cup of coffee if they pay a one-time fee of $50. With Option 2, customers purchase a refillable mug and pay a fee for each refill, as shown in the graph.



A graph.Short description, A graph.,Long description,
The graph is titled Option 2. The x-axis shows Number of Refills, and the y-axis shows Total Cost in dollars. There are 7 points plotted.

(0 comma 30).
(5 comma 37.50).
(10 comma 45).
(15 comma 52.50).
(20 comma 60).
(25 comma 67.50).
(30 comma 75).


Question 1
,begin emphasis,Part A,end emphasis,

How much ,begin emphasis,more,end emphasis, is the one-time fee for Option 1 compared to the price of the refillable mug for Option 2? Enter the answer in the box.

Question 1 Response area with 1 text input box
$
Question 2
,begin emphasis,Part B,end emphasis,

What is the difference in total price if a customer buys 1 cup of coffee each day for 365 days between Option 1 and Option 2? Enter the answer in the box.

Question 2 Response area with 1 text input box
$

1 answer

Question 1:
The one-time fee for Option 1 is $50.
The price of the refillable mug for Option 2 is $30.

The difference between the one-time fee for Option 1 and the price of the refillable mug for Option 2 is:
$50 - $30 = $20.

Therefore, the one-time fee for Option 1 is $20 more than the price of the refillable mug for Option 2.

Question 2:
In Option 1, the price per cup of coffee is $1, and a customer buys 1 cup of coffee each day for 365 days. Therefore, the total cost for Option 1 is:
1 x 365 = $365.

In Option 2, the cost per refill varies based on the number of refills. According to the graph, at 0 refills, the cost is $30. Since a customer buys 1 cup of coffee each day, they would need 365 refills in a year. Looking at the graph, the cost for 365 refills is $75.

The difference in total price between Option 1 and Option 2 is:
$365 - $75 = $290.

Therefore, the difference in total price if a customer buys 1 cup of coffee each day for 365 days between Option 1 and Option 2 is $290.