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Question
jessenia spends $5 on a treat every friday for 8 weeks. the equation below is written to represent the scenario. -5×8 = -40 which description best explains the meaning of -40 in the equation? a each treat cost $40. b jessenia now has -$40. c the change in jessenias money over the 8 weeks is -40. d the number of weeks that jessenia spent money was -40.
Step1: Analyze the meaning of each part of the equation
The $-5$ represents the amount of money Jessenia spends each week (a decrease, so negative). The $8$ represents the number of weeks. When we multiply $-5\times8$, we are calculating the total change in her money over those 8 weeks.
Step2: Evaluate each option
- Option A: Each treat costs $5$, not $40$. So A is wrong.
- Option B: The equation is about the total change in money over 8 weeks, not her current amount of $-40$ (which is an incorrect interpretation as money can't be negative in this context in the way it's presented here).
- Option C: Since she spends $5$ each week for 8 weeks, the total change (a decrease) in her money is $-5\times8=-40$. This is correct.
- Option D: The number of weeks is 8 (a positive number), not $-40$. So D is wrong.
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C. The change in Jessenia's money over the 8 weeks is $- 40$.