A study estimated how a person\'s social status (rated on a scale where 100 indi
ID: 2871929 • Letter: A
Question
A study estimated how a person's social status (rated on a scale where 100 indicates the status of a college graduate) depended upon income. Based on this study, with an income of i thousand dollars, a person's status is S(i) = 17.5(i 1)0.53. † Find S'(21). (Round your answer to two decimal places.)
S'(21) = _________
Interpret your answer.
_At an income of $21,000 social status increases by this amount per additional $1000 of income.
_At an income of $21,000 social status decreases by this amount per additional $1000 of income.
_At an income of $21,000 social status does not change.
_At an income of $21,000 social status increases by this amount per additional $100 of income.
_At an income of $21,000 social status decreases by this amount per additional $100 of income.
Explanation / Answer
S(i) = 17.5(i 1)0.53
S'(i) = 17.5*0.53(i 1)0.53-1
==>S'(i) =9.275(i 1)-0.47
==>S'(21) =9.275(21 1)-0.47
==>S'(21) =9.275(20)-0.47
==>S'(21) =2.27
At an income of $21,000 social status increases by about 2.27 units per additional $1000 of income.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.