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

What does the slope represent in a real-world context?

Back

The slope represents the rate of change or how much one quantity changes in relation to another.

Front

What does the y-intercept represent in a real-world context?

Back

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

Front

Write the equation for a situation where a person has a $50 starting balance and spends $5 each week.

Back

y = 50 - 5x, where y is the balance and x is the number of weeks.

Front

If a car rental company charges a $20 fee plus $15 per day, what is the equation in slope-intercept form?

Back

y = 15x + 20, where y is the total cost and x is the number of days.

Front

How do you find the total cost after a certain number of months if the monthly fee is $4 and the startup fee is $30?

Back

Use the equation y = 4x + 30, where y is the total cost and x is the number of months.

Front

In the equation y = 10x - 400, what does the -400 represent?

Back

The -400 represents the amount owed initially before earning money.

Front

If Owen made $800 and spends $15 each time he goes out, how would you express his remaining money after x dinners?

Back

y = 800 - 15x, where y is the remaining money after x dinners.

Front

What is the first step to solve a word problem involving slope-intercept form?

Back

Identify the fixed costs (y-intercept) and the variable costs (slope) from the problem.

Front

How do you determine the number of months until a total cost reaches a specific amount?

Back

Set the total cost equation equal to the desired amount and solve for x.