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The following table shows the net monthly income N for a real estate agency s = Sales N= Net income 450,000 500,000 550,000 600,000 2500 4000 5500 7000 (a) Make a table showing, for each of the intervals in the table above, the average rate of change in N. Interval 450,000 to 500,000 500,000 to 550,000 550,000 to 600,000 Rate of change What pattern do you see? O The average rate of change is constant. O The average rate of change increases at a decreasing rate. O The average rate of change decreases at a constant rate. O The average rate of change increases at a constant rate. (b) Use the average rate of change to estimate the net monthly income for monthly real estate sales of $520,000. $ In light of your answer to part (a), how confident are you that your estimate is an accurate representation of the actual income? O Due the decrease in the rate of change at higher sales levels, this estimation is probably higher than the actual value. O Due the decrease in the rate of change at higher sales levels, this estimation is probably lower than the actual value. O Due the increase in the rate of change at higher sales levels, this estimation is probably lower than the actual value. O Due to the constant rate of change, this should be an accurate representation of the actual income. (c) Would you expect N to have a limiting value? O Yes O No

The following table shows the net monthly income N for a real estate agency s = Sales N= Net income 450,000 500,000 550,000 600,000 2500 4000 5500 7000 (a) Make a table showing, for each of the intervals in the table above, the average rate of change in N. Interval 450,000 to 500,000 500,000 to 550,000 550,000 to 600,000 Rate of change What pattern do you see? O The average rate of change is constant. O The average rate of change increases at a decreasing rate. O The average rate of change decreases at a constant rate. O The average rate of change increases at a constant rate. (b) Use the average rate of change to estimate the net monthly income for monthly real estate sales of $520,000. $ In light of your answer to part (a), how confident are you that your estimate is an accurate representation of the actual income? O Due the decrease in the rate of change at higher sales levels, this estimation is probably higher than the actual value. O Due the decrease in the rate of change at higher sales levels, this estimation is probably lower than the actual value. O Due the increase in the rate of change at higher sales levels, this estimation is probably lower than the actual value. O Due to the constant rate of change, this should be an accurate representation of the actual income. (c) Would you expect N to have a limiting value? O Yes O No

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The following table shows the net monthly income N for a real estate agency as a function of the monthly real estate sales s, both measured in dollars. s = Sales N= Net income 450,000 2500 500,000 4000 550,000 5500 600,000 7000 (a) Make a table showing, for each of the intervals in the table above, the average rate of change in N. Interval 450,000 to 500,000 500,000 to 550,000 550,000 to 600,000 Rate of change What pattern do you see? O The average rate of change is constant. O The average rate of change increases at a decreasing rate. O The average rate of change decreases at a constant rate. O The average rate of change increases at a constant rate. (b) Use the average rate of change to estimate the net monthly income for monthly real estate sales of $520,000. $ In light of your answer to part (a), how confident are you that your estimate is an accurate representation of the actual income? O Due the decrease in the rate of change at higher sales levels, this estimation is probably higher than the actual value. O Due the decrease in the rate of change at higher sales levels, this estimation is probably lower than the actual value. O Due the increase in the rate of change at higher sales levels, this estimation is probably lower than the actual value. O Due to the constant rate of change, this should be an accurate representation of the actual income. (c) Would you expect N to have a limiting value? O Yes No Explain your reasoning. 2215
Transcribed Image Text:The following table shows the net monthly income N for a real estate agency as a function of the monthly real estate sales s, both measured in dollars. s = Sales N= Net income 450,000 2500 500,000 4000 550,000 5500 600,000 7000 (a) Make a table showing, for each of the intervals in the table above, the average rate of change in N. Interval 450,000 to 500,000 500,000 to 550,000 550,000 to 600,000 Rate of change What pattern do you see? O The average rate of change is constant. O The average rate of change increases at a decreasing rate. O The average rate of change decreases at a constant rate. O The average rate of change increases at a constant rate. (b) Use the average rate of change to estimate the net monthly income for monthly real estate sales of $520,000. $ In light of your answer to part (a), how confident are you that your estimate is an accurate representation of the actual income? O Due the decrease in the rate of change at higher sales levels, this estimation is probably higher than the actual value. O Due the decrease in the rate of change at higher sales levels, this estimation is probably lower than the actual value. O Due the increase in the rate of change at higher sales levels, this estimation is probably lower than the actual value. O Due to the constant rate of change, this should be an accurate representation of the actual income. (c) Would you expect N to have a limiting value? O Yes No Explain your reasoning. 2215
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