(a) Compute and interpret the average rate of change of P(t) over the period of 2009-2019 (that is, [9,19]) and over the period [9,19]. (b) Compute the average rate of change over the period [15,19]

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Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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The following table shows education expenditure in the United States as a percentage of total federal spending in 2009, 2015, and 2019. (a) Compute and interpret the average rate of change of P(t) over the period of 2009-2019 (that is, [9,19]) and over the period [9,19]. (b) Compute the average rate of change over the period [15,19]
MY NOTES
ASK YOUR TEACHER
The following table shows education expenditure in the United States as a percentage of total federal spending in 2009, 2015, and 2019.
Year t (year
since 2000)
15
19
Percentage P(t)
25
27
Compute and interpret the average rate of change of P(t) over the period 2009-2019 (that is, [9, 19]) and over the period [15, 19). Be sure to state the units of measurement.
(a) Compute the average rate of change over the period 2009-2019 (that is, 19, 191).
x % per year v
Interpret the average rate of change.
O U.S. education expenditure, as a percentage of total federal spending, is projected to have increased by this amount per day during 2009-2019.
O U.S. education expenditure, as a percentage of total federal spending, is projected to have decreased by this amount per month during 2009-2019.
O U.S. education expenditure, as a percentage of total federal spending, is projected to have increased by this amount per month during 2009-2019.
O U.S. education expenditure, as a percentage of total federal spending, is projected to have increased by this amount per year during 2009-2019.
O U.S. education expenditure, as a percentage of total federal spending, is projected to have decreased by this amount per day during 2009-2019.
(b) Compute the average rate of change over the period [15, 19].
x % per year
Interpret the average rate of change.
O U.S. education expenditure, as a percentage of total federal spending, is projected to have decreased by this amount per month during 2015-2019.
O U.S. education expenditure, as a percentage of total federal spending, is projected to have increased by this amount per year during 2015-2019.
O U.S. education expenditure, as a percentage of total federal spending, is projected to have increased by this amount per day during 2015-2019.
• U.S. education expenditure, as a percentage of total federal spending, is projected to have decreased by this amount per year during 2015-2019.
O U.S. education expenditure, as a percentage of total federal spending, is projected to have decreased by this amount per day during 2015-2019.
Transcribed Image Text:MY NOTES ASK YOUR TEACHER The following table shows education expenditure in the United States as a percentage of total federal spending in 2009, 2015, and 2019. Year t (year since 2000) 15 19 Percentage P(t) 25 27 Compute and interpret the average rate of change of P(t) over the period 2009-2019 (that is, [9, 19]) and over the period [15, 19). Be sure to state the units of measurement. (a) Compute the average rate of change over the period 2009-2019 (that is, 19, 191). x % per year v Interpret the average rate of change. O U.S. education expenditure, as a percentage of total federal spending, is projected to have increased by this amount per day during 2009-2019. O U.S. education expenditure, as a percentage of total federal spending, is projected to have decreased by this amount per month during 2009-2019. O U.S. education expenditure, as a percentage of total federal spending, is projected to have increased by this amount per month during 2009-2019. O U.S. education expenditure, as a percentage of total federal spending, is projected to have increased by this amount per year during 2009-2019. O U.S. education expenditure, as a percentage of total federal spending, is projected to have decreased by this amount per day during 2009-2019. (b) Compute the average rate of change over the period [15, 19]. x % per year Interpret the average rate of change. O U.S. education expenditure, as a percentage of total federal spending, is projected to have decreased by this amount per month during 2015-2019. O U.S. education expenditure, as a percentage of total federal spending, is projected to have increased by this amount per year during 2015-2019. O U.S. education expenditure, as a percentage of total federal spending, is projected to have increased by this amount per day during 2015-2019. • U.S. education expenditure, as a percentage of total federal spending, is projected to have decreased by this amount per year during 2015-2019. O U.S. education expenditure, as a percentage of total federal spending, is projected to have decreased by this amount per day during 2015-2019.
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