Question

warm-up
use the drawing tools to form the correct answer on the graph.
anna is saving to buy some souvenirs on a family vacation. she has already saved $125, and she saves another $2 from her allowance every day.
formulate and then graph the equation that models the total amount anna saves, y, in terms of the number of days she adds to her savings, x.
(the graph and drawing tools part is omitted as per ocr text processing rules)

Explanation:

Step1: Identify the slope and y - intercept

The problem is about a linear relationship. The general form of a linear equation is $y = mx + b$, where $m$ is the slope (rate of change) and $b$ is the y - intercept (initial value).
Anna already has $125 saved, so the y - intercept $b = 125$. She saves $2 per day, so the slope $m = 2$.

Step2: Form the equation

Using the slope - intercept form $y=mx + b$, substitute $m = 2$ and $b = 125$. The equation is $y=2x + 125$.

Step3: Find two points to graph the line

• When $x = 0$ (the number of days is 0), $y=2(0)+125=125$. So the point is $(0,125)$.
• When $x = 10$, $y=2(10)+125=20 + 125=145$. So the point is $(10,145)$.
• To graph the line (a ray, since $x\geq0$ as the number of days can't be negative), plot the point $(0,125)$ and then use the slope (rise 2, run 1) to find other points or use the point $(10,145)$ to draw the ray starting at $(0,125)$ and passing through $(10,145)$ (and beyond in the positive x - direction).

Answer:

The equation is $y = 2x+125$. To graph it, plot the point $(0,125)$ and then use the slope of 2 (or another point like $(10,145)$) to draw a ray starting at $(0,125)$ and extending in the positive x - direction.