Point Slope Word Problems

Front

What are independent and dependent variables?

Back

Independent variables are the variables that are changed or controlled in a scientific experiment to test their effects on the dependent variables. Dependent variables are the variables that are measured and affected in the experiment.

Front

In the context of selling cupcakes, what is the independent variable?

Back

The independent variable is the number of cupcakes sold.

Front

In the context of selling cupcakes, what is the dependent variable?

Back

The dependent variable is the money made from selling the cupcakes.

Front

How do you write the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope in the equation y = 3x + 3?

Back

The slope is 3.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the value of y when x is 0.

Front

Write the equation for a scenario where snow is falling at a rate of 3 inches per hour, starting with 1 inch already on the ground.

Back

y = 3x + 1, where y is the total inches of snow on the ground after x hours.

Front

If you sell 7 cupcakes at $3 each, how do you calculate the total money made?

Back

Total money made = price per cupcake * number of cupcakes sold = 3 * 7 = $21.

Front

What is the equation representing the decrease in fish population at a rate of 2 fish per month, starting with 50 fish?

Back

y = -2x + 50, where y is the number of fish left after x months.

Front

What are the independent and dependent variables in the fish population scenario?

Back

Independent: months; Dependent: number of fish.