Q:

Scott is putting money into a checking account. Let y represent the total amount of money in the account (in dollars). Let x represent the number of weeks Scott has been adding money. Suppose that x and y are related by the equation y = 50x + 450 .

Accepted Solution

A:
Answer:Part 1) The change per week in the amount of money  is  $50Part 2) The starting amount in the account is $450Step-by-step explanation:The complete question isScott is putting money into a checking account. Let y represent the total amount of money in the account (in dollars). Let x represent the number of weeks Scott has been adding money. Suppose that x and y are related by the equation y = 50x + 450.Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease use a negative number.   1. WHAT IS THE CHANGE PER WEEK IN THE AMOUNT OF MONEY IN THE ACCOUNT?   2. WHAT WAS THE STARTING AMOUNT OF IN THE ACCOUNT?Letx ------> the number of weeks Scott has been adding moneyy ------>  the total amount of money in the account (in dollars)we have[tex]y=50x+450[/tex]This is the equation of a line in slope intercept formwhereThe slope m is [tex]m=50\frac{\$}{week}[/tex]The y-intercept b is[tex]b=\$450[/tex]thereforeThe change per week in the amount of money  in the account is equal to the slope of the linear equation, so is equal to [tex]50\frac{\$}{week}[/tex]The starting amount in the account is equal to the y-intercept of the linear equation ( value of y when the value of x is zero), so is equal to [tex]\$450[/tex]