Question

PLEASEEEE PLEASEE HELP!

Rachel has $5 in her savings account.
Option 1 will add $35 to her account each week.
Option 2 will double the amount of money in her account at the end of each week.
PART A:
Write a function in terms of x to model each option of saving.
PART B:
Rachel wants to have at least $700 in her account at the end of 8 weeks to go on a class trip. Determine which option will enable her to reach her goal. Justify your answer

Answer 1

Explanation:

Hello there! this problem will requite us to write 2 equations for both situations described.

firstly, the first equation will look something like this:

`y=35x+5`

and the second equation will look like this:

y=5(1+100%)^x

If Rachel wants to save up 700 dollars in 8 weeks we can easily solve for which one will get her there by plugging in 700 for y and solving for x.

Solving for x in:

`700=35x+5`

we find that this option will take a little over 19 weeks

Solving for x in:

700=5(1+100%)^x

we find that this option will take roughly 7.15 weeks

Hope this helps!