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.
(z-
= (-2) (→
Use the FOIL Method to find (z —
· -
MODELING REAL LIFE Your checking account has a constant balance of $500. Let the function $m$ represent the balance of your savings account after $t$ years. The table shows the total balance of the accounts over time. Year, $t$ Total balance 0 1 2 3 4 5 $2500 $2540 $2580.80 $2622.42 $2664.86 $2708.16 a. Write a function $B$ that represents the total balance after $t$ years. Round values to the nearest hundredth, if necessary. $B\left(t\right)=$ Question 2 b. Find $B\left(8\right)$ . About $ a Question 3 Interpret $B\left(8\right)$ . b represents the total balance checking and saving accounts after 8 years the balance would be 16 / 10000 Word Limit16 words written of 10000 allowed Question 4 c. Compare the savings account to the account, You deposit $9000 in a savings account that earns 3.6% annual interest compounded monthly. A = 11998.70 SINCE 9000 is the principal ( 1+0.036/12)12 times 8 gives me aproxtimately 1997 14 / 10000 Word Limit14 words written of 10000 allowed Skip to…
Chapter 7 Solutions
Pearson eText Intermediate Algebra for College Students -- Instant Access (Pearson+)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.