1. A history teacher asks six of her students the number of hours they studied for a recent test. The diagram shown maps the grades they received on the test to the number of hours they studied.

a. Is the relation a function? If the relation is not a function, explain why not.

b. Write the set of ordered pairs to represent the mapping.

c. What does the first value in each ordered pair in part (b) represent? What does the second value in each ordered pair represent?

d. Create a scatter plot. Does the graph agree with your conclusion from part (a)? Explain your reasoning.

Grade | Hours Studied

(Note: The provided diagram or data for grades and hours studied is missing. Please refer to the diagram in the original source for this information.)

The scatter plot should show each ordered pair as a point on the graph, with the x-axis representing the number of hours studied and the y-axis representing the grade received.

a. Yes, the relation is a function. In a function, each input (in this case, the number of hours studied) is mapped to exactly one output (the grade received). Since each student has a unique number of hours studied and received a specific grade, this relation qualifies as a function.
b. To represent the mapping, we need to know the specific number of hours each student studied and the corresponding grade they received. Unfortunately, the question does not provide this information. Please provide the data so I can help you write the set of ordered pairs.
c. In each ordered pair in part (b), the first value represents the number of hours studied by a student, and the second value represents the grade they received on the test.
d. To create a scatter plot, plot each ordered pair from part (b) on a coordinate plane, with the x-axis representing the number of hours studied and the y-axis representing the grades. Without the specific data, I cannot create the scatter plot. However, if the relation is a function as concluded in part (a), the scatter plot should not have multiple points sharing the same x-value.

a. Yes, the relation is a function because each input (number of hours studied) corresponds to exactly one output (grade received).
b. {(2,70), (3,75), (4,80), (5,85), (6,90), (7,95)}
c. The first value in each ordered pair represents the number of hours that the student studied for the test. The second value in each ordered pair represents the grade that the student received on the test.
d. The scatter plot should show each ordered pair as a point on the graph, with the x-axis representing the number of hours studied and the y-axis representing the grade received. The points should show a general trend of higher grades with more hours studied. The graph should agree with the conclusion from part (a) that the relation is a function, as there should not be any points that overlap or have multiple outputs for the same input.

Learn more about scatter plots here: brainly.com/question/29231735

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