The number of Atlantic blue fin tuna in thousands can be modeled by P(x)=230(.881)^x where X represents the number of years since 1974. Use

Question

The number of Atlantic blue fin tuna in thousands can be modeled by P(x)=230(.881)^x where X represents the number of years since 1974. Use the model to algebraically determine the year when the Number of blue fin tuna reached 95,000

in progress 0
Audrey 1 week 2021-09-15T09:17:45+00:00 1 Answer 0

Answers ( )

    0
    2021-09-15T09:19:22+00:00

    Answer: 1981

    ===================================

    Work Shown:

    Recall that P is in thousands, so P = 95 means 95,000.

    Plug in P(x) = 95. Solve for x. Use logarithms to get this done.

    P(x)=230(0.881)^x

    95=230(0.881)^x

    95/230 = (0.881)^x

    0.41304347826087 = (0.881)^x

    (0.881)^x = 0.41304347826087

    Log( (0.881)^x )= Log( 0.41304347826087 )

    x*Log( 0.881 )= Log( 0.41304347826087 )

    x= Log( 0.41304347826087 )/Log( 0.881 )

    x= 6.97883817154785

    x= 7

    Approximately 7 years after 1974 is when the population will be around 95,000.

    7 years after 1974 = 1974+7 = 1981

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )