- The rate at which the amount of money in the account is increasing is 45 dollars per month.
- The initial amount of money in Tammy's account is equal to $197.
<h3>How to determine the relationship between the time and the amount of money?</h3>
In order to determine the relationship between the time and the amount of money in the account, we would calculate the average rate of change.
<h3>What is the average rate of change?</h3>
The average rate of change can be defined as a type of function that describes the average rate at which a quantity decreases or increases with respect to another quantity.
Mathematically, the slope (average rate of change) can be calculated by using this formula;

For Tammy's account, we have:
Points (x, y) = (6, 467) (8, 557)
Average rate of change = (557 - 467)/(8 - 6)
Average rate of change = 90/2
Average rate of change = 45.
As time increases, the amount of money in Tammy's account increases. Also, the rate at which the amount of money in the account is increasing is 45 dollars per month.
<h3>How to determine the initial amount?</h3>
First of all, we would determine the increment in 6 months as follows:
Increment = $45 × 6
Increment = $270.
Initial amount = $467 - $270
Initial amount of money = $197.
Read more on average rate of change here: brainly.com/question/19732795
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