The bar graph shows the population of the United States, in millions, for six selected years. Source: U.S. Census Bureau Here are two functions that model the data: a. Write a function that models the total U.S. population, P ( x ) in millions, x years after 1985. b. Write a rational function that models the fraction of men in the U.S. population, R ( x ), x years after 1985. c. What is the equation of the horizontal asymptote associated with the function in part (b)? Round to two decimal places. What does this mean about the percentage of men in the U.S. population over time?
The bar graph shows the population of the United States, in millions, for six selected years. Source: U.S. Census Bureau Here are two functions that model the data: a. Write a function that models the total U.S. population, P ( x ) in millions, x years after 1985. b. Write a rational function that models the fraction of men in the U.S. population, R ( x ), x years after 1985. c. What is the equation of the horizontal asymptote associated with the function in part (b)? Round to two decimal places. What does this mean about the percentage of men in the U.S. population over time?
Solution Summary: The author calculates the function that models the U.S. Population from the graph. The function is underset_f(x)=2.92x+236.
The bar graph shows the population of the United States, in millions, for six selected years.
Source: U.S. Census Bureau
Here are two functions that model the data:
a. Write a function that models the total U.S. population, P(x) in millions, x years after 1985.
b. Write a rational function that models the fraction of men in the U.S. population, R(x), x years after 1985.
c. What is the equation of the horizontal asymptote associated with the function in part (b)? Round to two decimal places. What does this mean about the percentage of men in the U.S. population over time?
(z-
= (-2) (→
Use the FOIL Method to find (z —
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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…
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