A magician charges $50.00 for a visit and an additional $7.50 for each hour he performs. The function rule C = 7.50h + 50.00 describes the relationship between the number of hours h and the total cost of the visit C. If the magician will only visit a maximum of 8 hours, what is a reasonable graph of the function rule? (1 point) Responses The horizontal axis is labeled hours h and it goes from 0 to 14. The vertical axis is labeled cost c and it goes from 0 to 120. Points are plotted at left parenthesis 0 comma 50 right parenthesis, left parenthesis 5 comma 87.5 right parenthesis, and left parenthesis 10 comma 125 right parenthesis. A line is drawn starting at left parenthesis 0 comma 50 right parenthesis, passing through all points, and ending at left parenthesis 10 comma 125 right parenthesis. Image with alt text: The first quadrant of a graph is shown. The horizontal axis is labeled hours h and it goes from 0 to 14. The vertical axis is labeled cost c and it goes from 0 to 120. Points are plotted at left parenthesis 0 comma 50 right parenthesis, left parenthesis 5 comma 87.5 right parenthesis, and left parenthesis 10 comma 125 right parenthesis. A line is drawn starting at left parenthesis 0 comma 50 right parenthesis, passing through all points, and ending at left parenthesis 10 comma 125 right parenthesis. The horizontal axis is labeled hours h and it goes from 0 to 14. The vertical axis is labeled cost c and it goes from 0 to 120. Points are plotted at left parenthesis 2 comma 65 right parenthesis, left parenthesis 5 comma 87.5 right parenthesis, and left parenthesis 8 comma 110 right parenthesis. A line is drawn starting at left parenthesis 2 comma 65 right parenthesis, passing through all points, and ending at left parenthesis 8 comma 110 right parenthesis. Image with alt text: The first quadrant of a graph is shown. The horizontal axis is labeled hours h and it goes from 0 to 14. The vertical axis is labeled cost c and it goes from 0 to 120. Points are plotted at left parenthesis 2 comma 65 right parenthesis, left parenthesis 5 comma 87.5 right parenthesis, and left parenthesis 8 comma 110 right parenthesis. A line is drawn starting at left parenthesis 2 comma 65 right parenthesis, passing through all points, and ending at left parenthesis 8 comma 110 right parenthesis. The horizontal axis is labeled hours h and it goes from 0 to 14. The vertical axis is labeled cost c and it goes from 0 to 120. Points are plotted at left parenthesis 0 comma 50 right parenthesis, left parenthesis 4 comma 80 right parenthesis, and left parenthesis 8 comma 110 right parenthesis. A line is drawn starting at left parenthesis 0 comma 50 right parenthesis, passing through all points, and ending at left parenthesis 8 comma 110 right parenthesis. Image with alt text: The first quadrant of a graph is shown. The horizontal axis is labeled hours h and it goes from 0 to 14. The vertical axis is labeled cost c and it goes from 0 to 120. Points are plotted at left parenthesis 0 comma 50 right parenthesis, left parenthesis 4 comma 80 right parenthesis, and left parenthesis 8 comma 110 right parenthesis. A line is drawn starting at left parenthesis 0 comma 50 right parenthesis, passing through all points, and ending at left parenthesis 8 comma 110 right parenthesis. The horizontal axis is labeled hours h and it goes from 0 to 14. The vertical axis is labeled cost c and it goes from 0 to 120. Points are plotted at left parenthesis 0 comma 50 right parenthesis, left parenthesis 4 comma 80 right parenthesis, and left parenthesis 8 comma 110 right parenthesis. A line is drawn starting at left parenthesis 0 comma 50 right parenthesis, passing through all points, and extending off the graph to the right. Image with alt text: The first quadrant of a graph is shown. The horizontal axis is labeled hours h and it goes from 0 to 14. The vertical axis is labeled cost c and it goes from 0 to 120. Points are plotted at left parenthesis 0 comma 50 right parenthesis, left parenthesis 4 comma 80 right parenthesis, and left parenthesis 8 comma 110 right parenthesis. A line is drawn starting at left parenthesis 0 comma 50 right parenthesis, passing through all points, and extending off the graph to the right. Skip to navigation
The reasonable graph of the function rule would be:
Image with alt text: The first quadrant of a graph is shown. The horizontal axis is labeled hours h and it goes from 0 to 14. The vertical axis is labeled cost c and it goes from 0 to 120. Points are plotted at left parenthesis 0 comma 50 right parenthesis, left parenthesis 5 comma 87.5 right parenthesis, and left parenthesis 10 comma 125 right parenthesis. A line is drawn starting at left parenthesis 0 comma 50 right parenthesis, passing through all points, and ending at left parenthesis 10 comma 125 right parenthesis.
answer in abcd format
C - The horizontal axis is labeled hours h and it goes from 0 to 14. The vertical axis is labeled cost c and it goes from 0 to 120. Points are plotted at left parenthesis 0 comma 50 right parenthesis, left parenthesis 5 comma 87.5 right parenthesis, and left parenthesis 10 comma 125 right parenthesis. A line is drawn starting at left parenthesis 0 comma 50 right parenthesis, passing through all points, and ending at left parenthesis 10 comma 125 right parenthesis.
The correct answer is: The horizontal axis is labeled hours h and it goes from 0 to 14. The vertical axis is labeled cost c and it goes from 0 to 120. Points are plotted at (0, 50), (5, 87.5), and (10, 125). A line is drawn starting at (0, 50), passing through all the points, and ending at (10, 125).
To understand how to get this answer, let's look at the given function rule: C = 7.50h + 50.00. This is a linear equation in the form of y = mx + b, where C represents the y (vertical) axis, h represents the x (horizontal) axis, 7.50 represents the slope (m), and 50.00 represents the y-intercept (b).
The y-intercept is the point where the line crosses the y-axis, and in this case, it is (0, 50). This means that when there are 0 hours (h = 0), the cost (C) is $50.
The slope (m) represents the rate of change of the line. In this case, the slope is 7.50, which means that for every hour the magician performs, the cost increases by $7.50.
To find additional points on the line, we can use the slope (7.50) to determine the change in cost for a given change in hours. For example, if we add 5 hours to the initial 0 hours, we get 5 + 0 = 5. The change in cost can be calculated by multiplying the slope (7.50) by the change in hours, giving us 7.50 * 5 = 37.50. Adding this change in cost to the initial cost of $50, we get 50 + 37.50 = 87.50. This gives us the point (5, 87.50) on the graph.
Similarly, if we add 10 hours to the initial 0 hours, we get 10 + 0 = 10. The change in cost can be calculated by multiplying the slope (7.50) by the change in hours, giving us 7.50 * 10 = 75. Adding this change in cost to the initial cost of $50, we get 50 + 75 = 125. This gives us the point (10, 125) on the graph.
By plotting these points (0, 50), (5, 87.5), and (10, 125) on the graph and drawing a line through them, we can visualize the relationship between the hours (h) and the cost (C) of the magician's visit.