Question

the table below ranks the eight best professors at state college measured by the percentage of students who gave them a rating of \excellent\ on a survey. let x represent the percentage of students who gave a professor an \excellent\ rating. write the name or names of the professors described by the inequality 75.4% ≤ x < 85.3%.
professor % of \excellent\ rating
wu 91.3%
levan 88.0
kallman 87.6
diaz 86.5
murphy 85.3
obrien 80.5
davis 77.9
isley 75.4
(a) diaz, murphy, obrien, davis, and isley
(b) wu, levan, kallman, diaz, and murphy
(c) murphy, obrien, davis, and isley
(d) obrien, davis, and isley

Explanation:

Step1: Check Isley's rating

Isley has a rating of 75.4%, which satisfies $75.4\%\leq x$.

Step2: Check Davis's rating

Davis has a rating of 77.9%, which satisfies $75.4\%\leq x<85.3\%$.

Step3: Check O'Brien's rating

O'Brien has a rating of 80.5%, which satisfies $75.4\%\leq x<85.3\%$.

Step4: Check Murphy's rating

Murphy has a rating of 85.3%, which does not satisfy $x < 85.3\%$.

Step5: Check Diaz's rating

Diaz has a rating of 86.5%, which does not satisfy $x < 85.3\%$.

Step6: Check Kallman's rating

Kallman has a rating of 87.6%, which does not satisfy $x < 85.3\%$.

Step7: Check Levan's rating

Levan has a rating of 88.0%, which does not satisfy $x < 85.3\%$.

Step8: Check Wu's rating

Wu has a rating of 91.3%, which does not satisfy $x < 85.3\%$.

Answer:

D. O'Brien, Davis, and Isley