A paediatrician records the age x in yr and average height y in inches for girls between the ages of 2 and 10. a. Use the points (2, 35) and (6, 46) to write a linear model for these data. b. Interpret the meaning of the slope in context. c. Use the model to forecast the average height of 11-yr-old girls. d. If the height of a girl at age 11 is 90 % of her full-grown adult height, use the result of part (c) to estimate the average height of adult women. Round to the nearest tenth of an inch.
A paediatrician records the age x in yr and average height y in inches for girls between the ages of 2 and 10. a. Use the points (2, 35) and (6, 46) to write a linear model for these data. b. Interpret the meaning of the slope in context. c. Use the model to forecast the average height of 11-yr-old girls. d. If the height of a girl at age 11 is 90 % of her full-grown adult height, use the result of part (c) to estimate the average height of adult women. Round to the nearest tenth of an inch.
Solution Summary: The author explains how to calculate a linear model for the data given in graph by using the points (2,35) and
A paediatrician records the age
x
in yr
and average height
y
in inches
for girls between the ages of 2 and 10.
a. Use the points (2, 35) and (6, 46) to write a linear model for these data.
b. Interpret the meaning of the slope in context.
c. Use the model to forecast the average height of 11-yr-old girls.
d. If the height of a girl at age 11 is
90
%
of her full-grown adult height, use the result of part (c) to estimate the average height of adult women. Round to the nearest tenth of an inch.
For the following function f and real number a,
a. find the slope of the tangent line mtan
=
f' (a), and
b. find the equation of the tangent line to f at x = a.
f(x)=
2
=
a = 2
x2
a. Slope:
b. Equation of tangent line: y
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