Question

Eliza started her savings account with $100 each month she deposits $25 into her account write the function that describes the relationship between the amount Eliza deposit and the total amount and her account then determine average rate of change and the account from second month to the 10th month. i neeeeedddd helllppp

Answer 1

Answer:  Required function will be

$f(x)=100+25x$

Average rate of change will be $25 per month.

Step-by-step explanation:

Since we have given that

Eliza started her saving account with $100 .

So, Initial amount  = $100

Each month she deposits $25 into her account ,

So, Increment per month = $25

Now, we need a relationship between the amount Eliza deposit and the total amount in her amount will be

$f(x)=100+25x\\\\where,\\\\\text{ x denotes the number of months}$

So, required function will be

$f(x)=100+25x$

In Second month, amount will be

$f(2)=100+25\times 2\\\\f(2)=100+50\\\\f(2)=150$

In tenth month, amount will be

$f(10)=100+25\times 10\\\\f(2)=100+250\\\\f(2)=350$

Average rate of change from second month to the 10 th month will be

$\frac{f(10)-f(2)}{10-2}\\\\=\frac{350-150}{8}\\\\=\frac{200}{8}\\\\=\ 25$

Hence, average rate of change will be $25 per month.