Slope Intercept 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

In the equation y = 15x + 20, what does the number 15 represent?

Back

The number 15 represents the slope, which indicates the rate of change of y with respect to x.

Front

In the equation y = 15x + 20, what does the number 20 represent?

Back

The number 20 represents the y-intercept, which is the value of y when x is 0.

Front

What does the slope of a line indicate in a real-world context?

Back

The slope indicates how much the dependent variable (y) changes for a unit change in the independent variable (x).

Front

If a job pays $10 per hour and you start with $50, what is the equation representing your total earnings after x hours?

Back

y = 10x + 50.

Front

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

Back

The y-intercept represents the initial amount of money before any earnings are made.

Front

In the equation y = (3/2)x + 20, what does the slope (3/2) represent?

Back

The slope (3/2) represents the cost per ride at the amusement park.

Front

How do you determine the total cost of rides at an amusement park if the entrance fee is $20 and each ride costs $1.50?

Back

The total cost can be modeled by the equation y = (3/2)x + 20, where x is the number of rides.

Front

What is the significance of the y-intercept in the equation y = (3/2)x + 20?

Back

The y-intercept (20) represents the entrance fee to the amusement park.

Front

Write the equation for a situation where a person has already made 5 tacos and can make 2 more tacos per minute.

Back

y = 2x + 5.