Answer:
Part 1) The change per week in the amount of money is $50
Part 2) The starting amount in the account is $450
Step-by-step explanation:
The complete question is
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.
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?
Let
x ------> the number of weeks Scott has been adding money
y ------> 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 form
where
The slope m is
[tex]m=50\frac{\$}{week}[/tex]
The y-intercept b is
[tex]b=\$450[/tex]
therefore
The 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]
