Your cardiac index is your heart’s output, in liters of blood per minute, divided by your body’s surface area, in square meters. The cardiac index, C ( x ) , can be modeled by C ( x ) = 7.644 x 4 , 10 ≤ x ≤ 80 , where x is an individual’s age, in years. The graph of the function is shown. Use the function to solve Exercises 95–96. a. Find the cardiac index of a 32-year-old. Express the denominator in simplified radical form and reduce the fraction. b. Use the form of the answer in part (a) and a calculator to express the cardiac index to the nearest hundredth. Identify your solution as a point on the graph.
Your cardiac index is your heart’s output, in liters of blood per minute, divided by your body’s surface area, in square meters. The cardiac index, C ( x ) , can be modeled by C ( x ) = 7.644 x 4 , 10 ≤ x ≤ 80 , where x is an individual’s age, in years. The graph of the function is shown. Use the function to solve Exercises 95–96. a. Find the cardiac index of a 32-year-old. Express the denominator in simplified radical form and reduce the fraction. b. Use the form of the answer in part (a) and a calculator to express the cardiac index to the nearest hundredth. Identify your solution as a point on the graph.
Solution Summary: The author explains how to calculate the cardiac index of a 32-year-old to the nearest hundredth.
Yourcardiac indexis your heart’s output, in liters of blood per minute, divided by your body’s surface area, in square meters. The cardiac index,
C
(
x
)
, can be modeled by
C
(
x
)
=
7.644
x
4
,
10
≤
x
≤
80
,
where
x
is an individual’s age, in years. The graph of the function is shown. Use the function to solve Exercises 95–96.
a. Find the cardiac index of a 32-year-old. Express the denominator in simplified radical form and reduce the fraction.
b. Use the form of the answer in part (a) and a calculator to express the cardiac index to the nearest hundredth. Identify your solution as a point on the graph.
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