Get Slope-Intercept form.
Graph the y-intercept
Use the slope to plot another point.
Connect the y-intercept and new point with a line.
Word Problem:
The business model for a company selling a service with no flat cost charges $3 per hour. What would the equation be as a proportional equation? If the company later decides to charge a flat rate of $10 for each transaction with the same per hour cost, what would be the new equation? How do these two equations compare when analyzed graphically? What is the same? What is different? Why?
ALL simple answers please
The equation for the business model selling a service with no flat cost charges $3 per hour would be y = 3x, where y represents the total cost and x represents the number of hours.
If the company decides to charge a flat rate of $10 for each transaction with the same per hour cost, the new equation would be y = 10 + 3x. The $10 flat rate is added to the cost per hour.
When analyzed graphically, both equations have the same slope of 3. This means that for every hour, the cost increases by $3.
The main difference is that the y-intercept for the first equation (y = 3x) is 0, while the y-intercept for the second equation (y = 10 + 3x) is 10. This means that even if there is no time spent (x = 0), there is still a cost of $10 in the second equation.
The reason for this difference is that the company introduced a flat rate fee of $10 for each transaction, regardless of the time spent. This results in a higher starting cost (y-intercept) compared to the first equation.