Interpreting Slope & Y-Intercept

Front

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

Back

The slope represents the rate of change or the cost per unit in a real-world scenario.

Front

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

Back

The slope of the line.

Front

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

Back

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

Front

How can you determine the weight of an empty bucket from a graph showing weight as it is filled with sand?

Back

The weight of the empty bucket is the y-intercept of the graph.

Front

What does a positive slope indicate about a relationship between two variables?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate about a relationship between two variables?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

In the context of renting a moving truck, what does the slope of the cost equation represent?

Back

The per-mile fee charged for using the truck.

Front

If a kayak rental costs $0.20 per minute, how would you express this relationship mathematically?

Back

c = 0.20t + 3.50, where c is the total cost and t is the time in minutes.

Front

What does the variable 'x' represent in the equation y = 0.25x + 5 for a music service?

Back

The number of songs downloaded by the customer.

Front

How can you find the total cost of renting a truck if you know the daily fee and the per-mile fee?

Back

Use the equation y = mx + b, where m is the per-mile fee and b is the daily fee.