a luxury car rental company charges $145 per day in addition to a flat fee of $60 for insurance. part 1 of 7…

Explanation:

Step1: Identify the slope - intercept form

The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. In the context of the car rental problem, the daily rate is the slope and the flat - fee is the y - intercept.

Step2: Determine the values of $m$ and $b$

The daily charge of $145$ is the rate of change (slope $m$), and the flat - fee of $60$ for insurance is the initial value (y - intercept $b$). So the equation is $y=145x + 60$.

Step3: Graph the equation

To graph $y = 145x+60$, first, plot the y - intercept. The y - intercept is the point $(0,60)$. Then, use the slope to find another point. The slope $m = 145=\frac{145}{1}$. From the point $(0,60)$, move 1 unit to the right (increase $x$ by 1) and 145 units up (increase $y$ by 145) to get the point $(1,205)$. Draw a straight line through these two points. Since $x$ (number of days) and $y$ (cost) are non - negative in this real - world context, we consider the first quadrant for the graph.

Answer:

(a) $y = 145x+60$ (b) Graph with y - intercept at $(0,60)$ and slope of 145, considering only the first - quadrant values for $x\geq0$ and $y\geq0$.