24f_05 Slope-intercept Word Problems

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you interpret the slope in a real-world context?

Back

The slope represents the rate of change between two variables in a situation.

Front

What does the y-intercept represent in a word problem?

Back

The y-intercept represents the starting value of the dependent variable when the independent variable is zero.

Front

If Betty owes Maggie $50 and pays back $2 a day, what does the equation y = 50 - 2x represent?

Back

This equation shows how much Betty still owes Maggie after x days.

Front

In the equation y = 5 + 3x, what do the numbers 5 and 3 represent?

Back

5 is the initial height of the plant, and 3 is the growth rate in cm per month.

Front

What does a negative slope indicate in a word problem?

Back

A negative slope indicates a decrease in the value of the dependent variable as the independent variable increases.

Front

How can you write an equation for a situation with a startup fee and a monthly fee?

Back

Use the form y = mx + b, where m is the monthly fee and b is the startup fee.

Front

What does the equation y = -3x + 20 represent in Sandra's gift card problem?

Back

This equation shows how much money Sandra has left on her gift card after x months.

Front

What is the significance of the variable x in these equations?

Back

x typically represents the independent variable, often time or another quantity that changes.

Front

How do you determine the initial value in a linear equation from a word problem?

Back

Identify the starting point or value when the independent variable is zero.