Question

​Sammy is saving money in a bank that charges a fee if the account is inactive for an extended period of time. The equation y=1500(0.78)^x

represents the value, , of one account that was left inactive for a period of years. Which statement below is true?​

0.78 is the percent of money in the account initially
0.78 is the percent of money in the account after years
1500 is the -intercept, it is the amount of money in the account initially
1500 is the -intercept, it is the amount of money in the account after years

Answer 1

Explanation:

The statement "0.78 is the percent of money in the account after years" is true.

In the given equation, y represents the value of the account after x years of inactivity. The expression (0.78)^x represents the percentage of money remaining in the account after x years of inactivity.

The initial value of the account, when x=0, is given by y = 1500(0.78)^0 = 1500. So, the statement "1500 is the y-intercept, it is the amount of money in the account initially" is also true.

However, the statement "0.78 is the percent of money in the account initially" is incorrect. The expression (0.78)^x represents the percentage of money remaining in the account after x years of inactivity, not initially.

Similarly, the statement "1500 is the y-intercept, it is the amount of money in the account after years" is also incorrect. The y-intercept represents the initial value of the account, not the value after a certain number of years.