Keisha makes house calls. For each, she is paid a base amount and makes additional money for each hour she works. The graph below shows her pay (in dollars) versus the number of hours worked.
Use the graph to answer the questions.
Pay ()
y20406080100120140160180200x1234567890
Number of
hours worked
(a) What is Keisha's pay for a house call if she doesn't work any hours?
(b) What is her pay if she works 1 hour?
(c) How much does her pay increase for each hour worked?
(d) Are the amounts given in parts (b) and (c) equal?
Why or why not? Choose the best answer.
Yes, because the line passes through 0,0.
Yes, because the line does not pass through 0,0.
No, because the line passes through 0,0.
No, because the line does not pass through 0,0.
(a) Keisha's pay for a house call if she doesn't work any hours is $20, as shown on the graph.
(b) Keisha's pay if she works 1 hour is $60, as shown on the graph.
(c) Her pay increases by $40 for each hour worked, as shown by the slope of the line.
(d) No, the amounts given in parts (b) and (c) are not equal. In part (b), the pay is $60 for 1 hour worked, while in part (c), the pay increases by $40 for each hour worked.
(a) Keisha's pay for a house call if she doesn't work any hours is $20.
(b) Her pay if she works 1 hour is $40.
(c) Her pay increases by $20 for each additional hour worked.
(d) The amounts given in parts (b) and (c) are equal. The best answer is "No, because the line does pass through 0,0."
To answer these questions, we will use the graph provided.
(a) Keisha's pay for a house call if she doesn't work any hours:
To find this information, we need to look at the y-axis value when the number of hours worked (x-axis) is 0. From the graph, we can see that the y-axis value at x = 0 is approximately 40 dollars. Therefore, Keisha's pay for a house call when she doesn't work any hours is 40 dollars.
(b) Keisha's pay if she works 1 hour:
To find this information, we need to locate the point on the graph corresponding to 1 hour on the x-axis and then determine the corresponding y-axis value. From the graph, we can see that the y-axis value at x = 1 is approximately 60 dollars. Therefore, Keisha's pay if she works 1 hour is 60 dollars.
(c) How much does her pay increase for each hour worked:
To find this information, we need to determine the change in pay (y-axis) for each additional hour worked (x-axis). Looking at the graph, we can see that for every additional hour worked, the pay increases by 20 dollars. Therefore, her pay increases by 20 dollars for each hour worked.
(d) Are the amounts given in parts (b) and (c) equal?
The answer is No, because the line passes through 0,0.
The statement "No, because the line passes through 0,0" is correct. When we look at the graph, we see that the line representing Keisha's pay does not pass through the origin (0,0) point on the graph. The line starts at approximately 40 dollars when x = 0, which means there is a base amount of pay even if no hours are worked. Therefore, the amounts given in parts (b) and (c) are not equal.