7.4a, 7.7a

Front

What is the relationship between the cost to rent a boat (y) and the amount of time rented (x)?

Back

The relationship is typically linear, where the cost increases as the time rented increases.

Front

How can the equation y = -7x - 3 be interpreted in the context of a fish swimming toward the ocean floor?

Back

The fish starts at 3 meters below sea level and descends at a rate of 7 meters per second.

Front

If Frank and his family drove for 6 hours every day, how can we express the total number of hours driven (y) in terms of the number of days (x)?

Back

The relationship can be expressed as y = 6x.

Front

What does the equation y = 2x - 2 represent in a graph?

Back

It represents a linear relationship where the slope is 2 and the y-intercept is -2.

Front

How do you determine if a table of values satisfies the equation y = 0.5x + 14?

Back

Substitute the x-values from the table into the equation and check if the resulting y-values match those in the table.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

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

Back

The slope represents the rate of change, indicating how much y changes for a unit change in x.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, representing the starting point of the line on the y-axis.

Front

How can you graph a linear equation?

Back

To graph a linear equation, identify the y-intercept, use the slope to find another point, and draw a line through these points.

Front

What is the significance of a negative slope in a real-world scenario?

Back

A negative slope indicates a decrease in the value of y as x increases, representing a decline in a quantity.