Question

Jennie and James plan to save money by raking leaves. Jennie already has one penny. With each bag of leaves she rakes, she doubles the amount of money she has. James earns 10 cents per bag. When will Jennie have more money than James?

Answer 1

After 6 bags, Jennie will have more money than James.

Explanation:

Jennie doubles her amount of money with every bag she rakes. This means that she multiplies her total by 2 after each bag.

y =
`2^(x)-1`

On the other hand, James adds 10 cents to his total after every bag.

y = 10x

(x stands for the number of bags raked)

If you set these two equations equal to each other and solve for x, you will find how many bags Jennie needs to rake until her total equals James' total.

Now, this does not give you the answer because the question asks "when will Jennie have more money than James. This means you just need to add 1 to the value of x that you get.

You can also graph the two equations and find where they intercept.

Answer 2

Depends on how many bags they fill but I would have to say yes because her money keeps doubling

Explanation: