Question

The table shows how much an air-conditioning repair company charges for different numbers of hours of work. Graph the data, and find the slope and y-intercept from the graph. Then write the equation for the graph in slope-intercept form.

A) Slope = 50, Y-Intercept = 100, Equation: A = 50h + 100
B) Slope = 50, Y-Intercept = 0, Equation: A = 50h
C) Slope = 100, Y-Intercept = 50, Equation: A = 100h + 50
D) Slope = 100, Y-Intercept = 0, Equation: A = 100h

Answer 1

To graph the data, plot the points, determine the slope and y-intercept, and write the equation in slope-intercept form. The correct answer is A) Slope = 50, Y-Intercept = 100, Equation: A = 50h + 100.

Step-by-step explanation:

To graph the data, we plot the number of hours worked on the x-axis and the corresponding charges on the y-axis. Then, we draw a straight line that passes through the points on the graph. From the graph, we can determine the slope by finding the ratio of the vertical change (change in charges) to the horizontal change (change in hours). The y-intercept is the point where the line intersects the y-axis.

Based on the given options, the correct answer is A) Slope = 50, Y-Intercept = 100, Equation: A = 50h + 100. The equation for the graph in slope-intercept form is A = 50h + 100, where A represents the total charge and h represents the number of hours worked.