The regular price of a child's entry ticket to a water park is $9 less than that for an adult's. the park offers half off all entry tickets during the off-peak season. the sandlers paid a total of $132 for 1 adult ticket and 4 child's tickets to the water park during the off-peak season. the following equation represents this situation, where x represents the regular price of an adult ticket:

132 = 1/2x + 2(x − 9)

what is the regular price of a child's ticket?

$60
$57
$51
$42

Stu and ambrose are working together on a study of whether diet is related to students' mental health. first, they randomly select 10 students from the student center and 10 students from the office of counseling and psychological services. then, they ask students to rate their diet in terms of healthiness on a scale of 1-100 before completing a 20-item mental health survey. a) name one of the constructs being studied b) how was the construct you named above operationally defined in this experiment? e) was the variable you described above their independent variable, their dependent variable, or a controlled variable? d) what is a confounding variable? what is a potential confound in this study?