QQuestionMathematics
QuestionMathematics
"Becky is offered the two deals below:
Deal 1: She will get a quarter on the first day of the week. Each day thereafter for one week, she will receive double what she received on the previous day.
Deal 2: She will get $4 each day for 1 week.
Which statement is true in every aspect regarding these two deals?
A. She should go with deal 1 because mc^026 - 1.jpg is greater than mc^026 - 2.jpg by $3.75.
B. She should go with deal 1 because mc^026 - 3.jpg is greater than mc^026 - 4.jpg by $35.50.
C. She should go with deal 2 because mc^026 - 5.jpg is greater than mc^026 - 6.jpg by $27.33.
D. She should go with deal 2 because mc^026 - 7.jpg is greater than mc^026 - 8.jpg by $48.50."
6 months agoReport content
Answer
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Step 1: Calculate the total amount Becky would receive from Deal 1.
S_{7} = \frac{1}{4} \frac{1-2^{7}}{1-2} = 122
There are 7 terms in total. We can calculate the sum of this geometric series using the formula: So, for Deal 1: Plugging these values into the formula:
Step 2: Calculate the total amount Becky would receive from Deal 2.
T_{2} = 4 imes 7 = $ 28
Deal 2 offers $4 each day for a week, and there are 7 days in a week. So,
Final Answer
Becky should choose Deal 1 because it offers a greater total amount of money: $122, which is $94 more than the total amount offered by Deal 2.
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