Question

a students savings account has a balance of $4200 on september 1. each month, the balance declines by $350. let b be the balance (in dollars) at t months since september 1. complete parts a. through e. a. find the slope of the linear model that describes this situation. what does it mean in this situation? the slope is -350. the balance declines by $350 per month. b. find the b-intercept of the model. what does it mean in this situation? the b-intercept is (0,4200). (type an ordered pair.) the balance is $4200 on september 1. c. find an equation of the model. b = \square (type an expression using t as the variable.)

Explanation:

Step1: Recall linear equation form

The general form of a linear equation is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. In this case, \( B \) (balance) is like \( y \), \( t \) (months) is like \( x \), slope \( m = -350 \), and B-intercept \( b = 4200 \).

Step2: Substitute into linear equation

Substitute \( m = -350 \) and \( b = 4200 \) into \( B = mt + b \). So \( B = -350t + 4200 \).

Answer:

\( -350t + 4200 \)