Question

The scatter plot shows the monthly balance of a bank account over the course of several months. The equation of the trend line shown is y+12.4x+116. After how many months will the account balance be ​$252.40

Answer 1

To determine after how many months the account balance will be $252.40, the provided trend line equation y = 12.4x + 116 is used. Solving for x results in approximately 11 months.

Step-by-step explanation:

The task is to find out after how many months the account balance will be $252.40, given the trend line equation of a bank account's monthly balance.

The equation provided seems to have a typo as it lacks an equal sign, but based on the context, we can assume it to be y = 12.4x + 116, where y represents the account balance and x represents the number of months.

To solve for x when y is $252.40, we use the equation:

252.40 = 12.4x + 116

To isolate the variable x, subtract 116 from both sides:

252.40 - 116 = 12.4x

136.40 = 12.4x

Now, divide both sides by 12.4 to get:

x = 136.40 / 12.4

x ≈ 11

The account balance will be $252.40 after approximately 11 months.