Suppose that average annual income (in dollars) forthe years 1990 through 1999 is given by the linearfunction: I ( x ) = 1 , 054 x + 23 , 286 , where x is thenumber of years after 1990. Which of the followinginterprets the slope in the context of the problem? a. As of 1990, average annual income was $23,286. b. In the ten-year period from 1990-1999, averageannual income increased by a total of $1,054. c. Each year in the decade of the 1990s, averageannual income increased by $1,054. d. Average annual income rose to a level of $23,286 bythe end of 1999.
Suppose that average annual income (in dollars) forthe years 1990 through 1999 is given by the linearfunction: I ( x ) = 1 , 054 x + 23 , 286 , where x is thenumber of years after 1990. Which of the followinginterprets the slope in the context of the problem? a. As of 1990, average annual income was $23,286. b. In the ten-year period from 1990-1999, averageannual income increased by a total of $1,054. c. Each year in the decade of the 1990s, averageannual income increased by $1,054. d. Average annual income rose to a level of $23,286 bythe end of 1999.
Suppose that average annual income (in dollars) forthe years 1990 through 1999 is given by the linearfunction:
I
(
x
)
=
1
,
054
x
+
23
,
286
, where x is thenumber of years after 1990. Which of the followinginterprets the slope in the context of the problem?
a. As of 1990, average annual income was $23,286.
b. In the ten-year period from 1990-1999, averageannual income increased by a total of $1,054.
c. Each year in the decade of the 1990s, averageannual income increased by $1,054.
d. Average annual income rose to a level of $23,286 bythe end of 1999.
The population of North Carolina (NC) in Year 2000 was approximately 4,300,000 with an annual increase of 2.6 %
(a) Find a mathematical model that relates the population of NC as a function of the number of years after 2000.
(b) If the annual increase remains the same, use this model to predicts the population of NC in Year 2010
The percent of births to teenage mothers that are out-of-wedlock can be approximated by a linear function of the number of years after 1955. The percent was
19 in 1974 and 71 in 2010. Complete parts (a) through (c).
(a) What is the slope of the line joining the points (19,19) and (55,71)?
The slope of the line is
(Simplify your answer. Round to two decimal places as needed.)
(b) What is the average rate of change in the percent of teenage out-of-wedlock births over this period?
The average rate of change in the percent of teenage out-of-wedlock births over this period is
needed.)
(c) Use the slope from part (a) and the number of teenage mothers in 2010 to write the equation of the line.
The equation is p =
(Do not factor. Type an expression using x as the variable.)
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58
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(Simplify your answer. Round to two decimal places as
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