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5.6.1: Practice Problems Corequisite M.6

  • Page ID
    148625
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    (1) Write the letter of each graph next to the equation that best matches it.

    _________ y = 1,000(0.95)x _________ y = 200 + 11x _________ y = 5(1.1)x

    Graph A. Y-axis ranged from 0 to 1200 in increments of 200. X-axis ranged from 0 to 60 in increments of 10. Positive curve going up to the right. from (0,0) to about (55,1200)
    Graph B. Y-axis ranged from 0 to 1200 in increments of 200. X-axis ranged from 0 to 60 in increments of 10. Negative curve going down from left from (0,1000) to about (60,0). Graph B. Y-axis ranged from 0 to 1200 in increments of 200. X-axis ranged from 0 to 60 in increments of 10. Positive line going up to the right from (0,200) to about (60,800).

    In this problem, you will compare the effects of different compounding periods on the interest an investment earns. Complete the table below using the values indicated. Show the formula you used, with the correct values, in the second column.

    • Principal: $1,000
    • APR: 4.5%
    • Time: 10 years

    Complete the table below by answering Questions 2-9.

    Compounding Period Equation Used for Calculation (with values inserted)

    Amount Accrued
    After 10 Years

    Annual (2) (3)
    Quarterly (4) (5)
    Monthly (6) (7)
    Daily (8) (9)

    Certain drugs are eliminated from the bloodstream at an exponential rate. Doctors and pharmacists need to know how long it takes for a drug to reach a certain level to determine how often patients should take medications. Answer the following questions based on this information.

    (10) Select the correct statement:

    (i) The same amount of the drug will be eliminated in the first hour as in the second hour.

    (ii) More of the drug will be eliminated in the first hour than in the second hour.

    (iii) Less of the drug will be eliminated in the first hour than in the second hour.

    (11) Write an exponential model for the following situation. The drug dosage is 500 mg. The drug is eliminated at a rate of 5.2% per hour. Use D = the amount of the drug in milligrams and t = time in hours.

    (12) How much of the drug is left after six hours? Round to the nearest milligram.


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