Question

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 .

Answer 1

Part 1) The change per week in the amount of money is $50

Part 2) The starting amount in the account is $450

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

`y=50x+450`

This is the equation of a line in slope intercept form

where

The slope m is

`m=50(\$)/(week)`

The y-intercept b is

`b=\$450`

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
`50(\$)/(week)`

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
`\$450`