A teacher notices a correlation between students’ scores on homework assignments and their scores on corresponding quizzes. The line of best fit for the data is given by the formula q=1.2h−25

, where h is the student homework score and q is the student quiz score. Which of the following relates the domain of this function to this scenario? (Assume that the homework does not have extra credit).(1 point)
Responses

[50,90]
left bracket 50 comma 90 right bracket

[0,100]
left bracket 0 comma 100 right bracket

[−25,25]
left bracket negative 25 comma 25 right bracket

[0,1.2]

1 answer

To determine the appropriate domain for the function \( q = 1.2h - 25 \) in the context of this scenario, we need to consider the possible values for the students' homework scores (h) based on typical grading systems.

  1. Homework scores typically range from 0 to 100 for a standard scale without extra credit.
  2. Since the homework score cannot be less than 0 or greater than 100, the logical domain for \( h \) is [0, 100].

Therefore, the correct response that relates the domain of this function to the scenario is:

[0, 100] (left bracket 0 comma 100 right bracket).