for chinese new year, wei received money in traditional red envelopes from her family. she deposited the…

for chinese new year, wei received money in traditional red envelopes from her family. she deposited the money in an investment account that will grow by a constant percent over time. the bank provided her with a graph that shows the logarithmic relationship between the account balance and time, in years. wei thinks that the x - intercept on the graph shows that her initial deposit grew by $200 the first year. is wei correct? use the drop - down menus to explain.

for chinese new year, wei received money in traditional red envelopes from her family. she deposited the money in an investment account that will grow by a constant percent over time. the bank provided her with a graph that shows the logarithmic relationship between the account balance and time, in years. wei thinks that the x - intercept on the graph shows that her initial deposit grew by $200 the first year. is wei correct? use the drop - down menus to explain.

Answer

Explanation:

Step1: Identify the x - intercept concept

The x - intercept of a graph is the value of x when y = 0. In the context of the investment - account graph, the x - axis represents the account balance and the y - axis represents time.

Step2: Analyze the claim

Wei claims that the x - intercept shows her initial deposit grew by $200 the first year. However, the x - intercept is not related to the growth of the initial deposit. The x - intercept would represent the account balance when the time (in years) is 0. In a logarithmic relationship for an investment account, the initial deposit is the y - value when x = 0 (where x is time), not related to the x - intercept.

Answer:

Wei is not correct. The x - intercept of the graph does not represent the growth of the initial deposit. The initial deposit is the value of the account balance at time t = 0 (y - value when x = 0), and the x - intercept is the account - balance value when the time is such that the graph crosses the x - axis, which has no relation to the first - year growth of the initial deposit.