Linear vs Exponential Practice

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It has a constant rate of change.

Front

What is an exponential relationship?

Back

An exponential relationship is a relationship where the rate of change increases or decreases exponentially. It can be represented by a curve on a graph.

Front

How can you identify a linear function from a table of values?

Back

A linear function will have a constant difference between consecutive y-values for equal intervals of x.

Front

How can you identify an exponential function from a table of values?

Back

An exponential function will have a constant ratio between consecutive y-values for equal intervals of x.

Front

What does it mean to triple your money every day?

Back

It means that each day, the amount of money you have is multiplied by three.

Front

If you start with $5 and triple your money for 3 days, how much do you have?

Back

After 3 days, you would have $5 * 3^3 = $5 * 27 = $135.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the general form of an exponential equation?

Back

The general form of an exponential equation is y = ab^x, where a is the initial value and b is the growth factor.

Front

What is the slope in a linear function?

Back

The slope is the rate of change of the function, representing how much y changes for a unit change in x.

Front

What is the y-intercept in a linear function?

Back

The y-intercept is the value of y when x is 0, indicating where the line crosses the y-axis.