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?

Question

Mathematics

Rachel

10 December, 21:20

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?

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Answers (2)

Know the Answer?

Roselyn Murray · Answer 1

It will take approximately 256 weeks to reach the class goal of &1,280 dollars

Shea Thomas · Answer 2

What you can use for this case is a function of the potential type.

We have then

y = a (b) ^ x

Where we have:

Walker starts the fund by depositing $ 5

a = 5

Each week the balance of the fund is twice the balance of the previous week:

b = 2

The function is:

y = 5 (2) ^ x

The number of weeks to reach $ 1280 is 8 weeks.

Check:

y = 5 (2) ^ 8

y = 1280

Answer:

An equation can be used to find the number of weeks, x, after which the balance of the fund will reach $ 1,280 is:

y = 5 (2) ^ x

The number of weeks that it takes to reach the class goal is

8 weeks