dr. shah visits patients at their homes. the equation y = 150x + 50 represents the amount she charges, where…

dr. shah visits patients at their homes. the equation y = 150x + 50 represents the amount she charges, where y represents the total cost and x represents the number of hours she spends at the home. when the equation is graphed, what does the y - intercept represent?\nthe hourly rate only\nthe rate for the entire visit\nthe rate for the first 20 minutes\nthe extra amount after the hourly rate

dr. shah visits patients at their homes. the equation y = 150x + 50 represents the amount she charges, where y represents the total cost and x represents the number of hours she spends at the home. when the equation is graphed, what does the y - intercept represent?\nthe hourly rate only\nthe rate for the entire visit\nthe rate for the first 20 minutes\nthe extra amount after the hourly rate

Answer

Explanation:

Step1: Recall 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 given equation $y=150x + 50$, $m = 150$ (the rate per hour) and $b = 50$.

Step2: Analyze the meaning of y - intercept

When $x = 0$ (i.e., Dr. Shah has not spent any time at the patient's home yet), $y=50$. This $50$ is an additional amount that is charged regardless of the number of hours spent at the home, which is the extra amount after the hourly rate.

Answer:

the extra amount after the hourly rate