Linear/Exponential Parameters

Front

What type of function describes a value that decreases by a constant percentage each year?

Back

Exponential function.

Front

Write the equation for an exponential growth model starting at 6 inches and growing at 14% per week.

Back

y=6(1.14)ⁿ.

Front

In the linear equation y = mx + b, what does 'b' represent?

Back

The y-intercept or initial value.

Front

In the equation y = 8x + 25, what does the y-intercept represent in context?

Back

The initial fee of $25.

Front

If a collectible car is worth $29,000 and increases by 10% each year, how do you calculate its value in 5 years?

Back

Use the formula: Future Value = Present Value * (1 + rate)^time.

Front

What is the formula for calculating the future value of an investment with exponential growth?

Back

Future Value = Present Value * (1 + growth rate)^number of periods.

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a constant amount, while exponential growth increases by a constant percentage.

Front

If a function is modeled by y = 3x + 4, what is the slope?

Back

The slope is 3.

Front

What does the slope in a linear equation represent?

Back

The rate of change of y with respect to x.

Front

In the context of a linear equation, what does the term 'initial value' refer to?

Back

The value of y when x = 0, represented by 'b' in y = mx + b.