The price that a company charged for a basketball hoop is given by the equation 50-5x^2 where x is the number of hoops that are produced, in millions. it costs the company $30 to make each basketball hoop. the company recently reduced its production to 1 million hoops but maintained its profit of 15 million dollars. approximately how many basketball hoops did the company previously produce to make the same profit?
a) 1.3 million hoops b) 1.4 million hoops
c) 15 million hoops d) 30 million hoops

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?