Question

SOMEONE HELP ME ASAP. THIS IS A QUESTION ON MY PLATO FOR ALGEBRA 2 Type the correct answer in the box. Tiffany is monitoring the decay of two radioactive compounds in test tubes at her lab. Compound A is continuously decaying at a rate of 12% and compound B is continuously decaying at a rate of 18%. Tiffany started with 30 grams of compound A and 40 grams of compound B. Create a system of inequalities that can be used to determine when both compounds will be less than or equal to the same mass, M, where t is time, in weeks, PA is the initial amount of compound A, PB is the initial amount of compound B, and r is the rate of decay. Enter the inequalities in the field by replacing the values of PA, PA, and r.

Answer 1

From Plato

30e-0.12t less than or equal to M

40e-0.18t less than or equal to M

Explanation:

It is given that compound A decays at a rate of 12% per week, and compound B decays at a rate of 18% per week. Since the rates represent decay, the r-value is negative. A decay rate of 12% is represented by an r-value of -0.12, and a decay rate of 18% is represented by an r-value of -0.18.

The initial amount of compound A is 30 grams and the initial amount of compound B is 40 grams. Substitute the initial amounts of each compound and their respective decay rates into the system of inequalities.

The following system of inequalities can be used to determine when the remaining mass of the two compounds, M, will be the same, after t weeks.