Two-thousand ounces of a radioactive substance are stored in a radioactive container. The amount, in ounces, of the substance that is left after t years can be modeled by the equation y=2000e−0.00043t, where y is the amount of the substance left after t years. Approximately how many years will it take until 50 ounces of this substance remains?

Approximately 1,933.64 years, it will take until 50 ounce of this substance remains.

Step-by-step explanation:

Given that,

The amount, in ounce, of the substance that is left after t years can be modeled by the equation

To find the time, we put y = 50 ounce in the above equation.

Taking ln function both sides of the above equation

  [ since  ]

              [ since and  ]

      ≈1,933.64 years.

Approximately 1,933.64 years, it will take until 50 ounce of this substance remains.

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,