Slope Word Problems and Graphs

Front

What is the equation for a situation where a person has a starting amount and adds a constant amount over time?

Back

y = mx + b, where m is the rate of change (slope) and b is the starting amount (y-intercept).

Front

In the equation y = mx + b, what does 'm' represent?

Back

The slope of the line, which indicates the rate of change.

Front

In the equation y = mx + b, what does 'b' represent?

Back

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

Front

Write the equation for a situation where a person starts with $100 and spends $20 per day.

Back

y = -20x + 100.

Front

What does the slope represent in a graph of a savings account over time?

Back

The amount of money saved or spent per time unit.

Front

If a person saves $40 per month, what is the slope of the equation representing their savings over time?

Back

The slope is 40.

Front

Write the equation for a situation where a meal costs $12.50 per person plus a $30 delivery fee.

Back

y = 12.5x + 30.

Front

What is the slope in the equation y = 12.5x + 30?

Back

The slope is 12.5, representing the cost per person.

Front

If a person has already made 8 tacos and can make 3 tacos per minute, what is the equation representing the total number of tacos made after x minutes?

Back

y = 3x + 8.

Front

What does a negative slope indicate in a word problem?

Back

It indicates a decrease in value over time.