Slope Intercept Form Word Problems

Front

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

Back

The slope-intercept form is given by the equation 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 of one variable with respect to another, indicating how much y changes for a unit change in x.

Front

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

Back

The y-intercept represents the value of y when x is zero, indicating the starting point of the relationship.

Front

How do you write an equation for a situation where a quantity decreases over time?

Back

You write the equation in the form y = -mx + b, where m is the rate of decrease.

Front

If an airplane descends at a rate of 2,000 feet per minute, how would you express this in slope-intercept form?

Back

y = -2000x + 30000, where y is the altitude and x is time in minutes.

Front

How do you model a situation with a fixed cost plus a variable cost?

Back

You use the equation C = mx + b, where m is the variable cost per unit, and b is the fixed cost.

Front

What is the equation for a plumber's charges if they charge $25 for a service call and $50 per hour?

Back

C = 50h + 25, where C is the total cost and h is the number of hours.

Front

How do you find the total cost after a certain number of hours of service?

Back

Substitute the number of hours into the equation C = 50h + 25 to find the total cost.

Front

What is the total bill if Jason has been in an online learning community for 17 months at $5 per month with a $20 startup fee?

Back

Total bill = 20 + (5 * 17) = $105.

Front

How do you calculate the altitude of a plane after a certain time of descent?

Back

Use the equation y = -2000x + 30000 and substitute x with the number of minutes.