 Hello and welcome to the session. In this session we are going to discuss the following question and the question says that the quantity in grams of a radioactive sample after t days is given by 150 into 0.94 raised to power t identify the initial value and the growth or decay rate. Let us start with the solution of this question. Now in this question we are given the quantity in grams of a radioactive sample after t days which is given by the function 150 into 0.94 raised to power t which is an exponential function of the form a into b raised to power x where a is the initial value and b is the base which gives us rate of growth or decay. Now if we compare the two functions we get the value of a as 150 and the value of b as 0.94. So here we can say that a which is the initial value is 150 thus we can say that initial value is 150 grams also here b is equal to 0.94 which is less than 1 so it shows decay. Now let us find rate of decay we can write this function that is 150 into 0.94 raised to power t as the function 150 into 1 minus 0.06 whole raised to power t which is of the form a into 1 minus r whole raised to power t. Now on comparing these two functions we get the value of r as 0.06 which is equal to 6 percent thus we conclude that we started with 150 grams of material which is decaying by 6 percent per day which is the required answer this completes our session hope you enjoyed this session