Question

which are examples where exponential growth or decay are required to solve the problem? select all that apply. a health physicist must determine when radiation levels in soil will be safe for crop production. an economist estimates the tax - paying population in 10 years given the current rate of change. an automotive engineer needs to test tire safety during high rates of acceleration by a sports car. an engineer calibrating a gram scale needs to calculate the spring constant. a tactical engineer must trace the path of a missile for 90 seconds after its launch.

Explanation:

1. Radiation decay follows an exponential - decay model. So, a health physicist determining when radiation levels in soil will be safe for crop production involves exponential decay.
2. Population growth or decline can often be modeled using exponential - growth or decay functions. An economist estimating the tax - paying population in 10 years given the current rate of change may use an exponential model.
3. Testing tire safety during high rates of acceleration by a sports car, calculating the spring constant for a gram scale, and tracing the path of a missile are problems that typically involve other types of mathematical models (such as kinematic equations for motion and Hooke's law for springs), not exponential growth or decay.

Answer:

A. A health physicist must determine when radiation levels in soil will be safe for crop production.
B. An economist estimates the tax - paying population in 10 years given the current rate of change.