Question

Brian spent a certain amount of money to set up a lemonade stand. The graph below shows the amount he earns, y, by selling x glasses of lemonade.

Which of the following situations is represented by the graph below?


A.
Brian spent $80 initially to set up the stand, and for every glass of lemonade he sold, he earned $1.05.

B.
Brian earned $80 initially, and for every glass of lemonade he sold, he earned $1.25.

C.
Brian earned $40 initially, and for every glass of lemonade he sold, he earned $0.25.

D.
Brian spent $80 initially to set up the stand, and for every glass of lemonade he sold, he earned $0.20.

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Answer 1

Kiki wants to rent a bounce house for her daughter's party. The cost, y, to rent a bounce house for a number of hours, x, is shown in the table. The initial set-up fee is included in the cost.
Hours (x) Cost (y)
2 $185
4 $315
6 $445
8 $575

To rent a bounce house, the initial setup fee is $
, and the hourly rate is $

Answer 2

The correct answer is B. Brian earned $80 initially, and for every glass of lemonade he sold, he earned $1.25. This is because the graph starts at $80 and each glass of lemonade sold is represented by a $1.25 increase in earnings.

Answer 3

To find the initial setup fee, we need to find the cost when the number of hours is 0. Looking at the table, we can see that when x = 0, the cost is not given. We can assume that the initial setup fee is the same as the cost when x = 2, which is $185.

So, the initial setup fee is $185.

To find the hourly rate, we need to find the difference in cost for every 2-hour increase in x. Looking at the table, we can see that the cost increases by $130 for every 2-hour increase in x.

So, the hourly rate is $130.