Question

interpret the following graph by choosing the correct answer for each part. savings account a) slope = b) what does the slope represent? c) (fee/starting value) y - intercept = d) what does the y - intercept represent? e) equation:

Explanation:

Step1: Calculate slope using two points

Choose points $(0, 50)$ and $(1, 150)$. Slope formula: $\text{Slope} = \frac{y_2 - y_1}{x_2 - x_1}$
$\text{Slope} = \frac{150 - 50}{1 - 0} = 100$

Step2: Interpret slope meaning

Slope = change in y / change in x. Y is balance, x is deposits.

Step3: Identify y-intercept

Y-intercept is y-value when $x=0$, from graph $(0,50)$.

Step4: Interpret y-intercept meaning

Y-intercept is starting balance at 0 deposits.

Step5: Write linear equation

Use $y = mx + b$, $m=100$, $b=50$.
$y = 100x + 50$

Answer:

A) $100$
B) The dollar amount of each deposit.
C) $50$
D) The initial starting balance of the savings account (before any deposits).
E) $y = 100x + 50$