Math Models Unit 1 Review

Front

Solve for x: 2x + 3 = 23

Back

x = 10

Front

What is the equation for exponential decay?

Back

y = a(1 - r)^t

Front

A radioactive element decays at a rate of 6% per year. If the initial mass is 40 grams, what is the mass after 10 years?

Back

Approximately 25 grams

Front

Which function represents an initial amount of $15 and an increase of 35% each year?

Back

y = 15(1.35)^x

Front

Identify the quadratic function: y = 4x + 4, y = 4x^2 - 8, y = 4x^3 + 4x^2, y = 4^x

Back

y = 4x^2 - 8

Front

What is the formula for exponential growth?

Back

y = a(1 + r)^t

Front

If a function is quadratic, what is its highest degree?

Back

2

Front

What does the variable 'r' represent in the exponential decay formula?

Back

The decay rate.

Front

What is the general form of a linear function?

Back

y = mx + b

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth increases over time, while exponential decay decreases.