Campos Chambers
02/15/2024 · Senior High School

Ms. Walker's class set up an online fund with a goal to raise \( \$ 1,280 \) to go on a field trip. Ms. Walker starts the fund by depositing \( \$ 5 \). Each week the balance of the fund is twice the balance of the previous week. Which equation can be used to find the number of weeks, \( x \), after which the balance of the fund will reach \( \$ 1,280 \), and how many weeks will it take to reach the class goal? A. \( 1,280\left(\frac{1}{5}\right)^{x}=2 ; x=4 \) B. \( 5(2)^{x}=1,280 ; x=8 \) C. \( 1,280\left(\frac{1}{2}\right)^{x}=5 ; x=7 \) D. \( 2(5)^{x}=1,280 ; x=5 \)

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The correct equation is \( 5(2)^x = 1,280 \), and it will take 8 weeks to reach the class goal.

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