Mathematics: Please help i’ll give brainliest

Please help i’ll give brainliest - id12118801, alishastevens16

riley111111111111111

13.05.2023

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.

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