contestada

The math SAT score of a high school student graduate can be approximated by S(x)=573-133(0.987), where x is the household income of the student in thousands of dollars per year. What is the average rate of change of the SAT score for students with household incomes ranging from $40,000 to $60,000 per year, in points per thousand dollars? Round answers to 3-decimal places and do not include units with your answer.

Respuesta :

JeanaShupp

Answer: 0.907

Step-by-step explanation:

The average rate of change in a function from x= a to x = b is given by :-

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Given: [tex]S(x)=573-133(0.987)^x[/tex]

Then, the average rate of change of the SAT score for students with household incomes ranging from $40,000 to $60,000 per year will be :

[tex]\dfrac{S(60)-S(40)}{60-40}=\dfrac{573-133(0.987)^{60}-573-133(0.987)^{40}}{20}\\\\=\dfrac{512.34-494.20}{20}\\\\=\dfrac{18.14}{20}\\\\=0.907[/tex]

Hence,  the average rate of change of the SAT score for students with household incomes ranging from $40,000 to $60,000 per yearr= 0.907

Otras preguntas