Question

Violet and Toby deposit money into their savings accounts at the end of each month. The table shows the account balances. If their patterns of saving continue, and neither earns interest nor withdraws any of the money, how will the balances compare after a very long time?

Answer 1

Answer:

A is correct

Step-by-step explanation:

Because if you imagine a number for Toby like 720. His would double while violet's will only go by 20

Answer 2

After very long time Toby's balance will be greater option (A) is correct and the equation for Toby's balance is y = 3(2)×⁻¹.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Violet and Toby deposit money into their savings accounts at the end of each month.

From the Violet table, we can derive a general function that represents the total account balance

For Violet:

y = 30 + 20(x - 1)

y = 20x + 10

For Toby:

y = 3(2)×⁻¹

After plotting the above function on a graph paper we will see the graph of a function y = 3(2)×⁻¹ is above the graph of a function y = 20x + 10.

Thus, after very long time Toby's balance will be greater option (A) is correct and the equation for Toby's balance is y = 3(2)×⁻¹.

Learn more about the function here:

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