Answer:
The amount the company charges in dollars can be represented as a linear function of the number of hours the employee works. We can use the slope-intercept form of a linear equation to graph this relationship:
y = mx + b
where y is the amount charged in dollars, x is the number of hours worked, m is the hourly rate charged by the company, and b is the initial charge for coming to the customer's home.
In this case, we have:
m = $50/hour (hourly rate)
b = $25 (initial charge)
Substituting these values into the equation, we get:
y = 50x + 25
This is the equation of a line with a slope of 50 and a y-intercept of 25. To graph this line, we can plot the y-intercept at (0, 25) and then use the slope to find other points on the line. For example, if the employee works for 1 hour, the company will charge:
y = 50(1) + 25 = $75
So we can plot the point (1, 75) on the graph. Similarly, if the employee works for 2 hours, the company will charge:
y = 50(2) + 25 = $125
So we can plot the point (2, 125) on the graph.
By connecting these points with a straight line, we get the graph of the linear function that represents the relationship between the number of hours worked and the amount charged by the company:
Explanation: