7.4a, 7.7a

Front

What does the equation y = -7x - 3 represent in the context of a fish swimming?

Back

The equation represents the depth of a fish swimming toward the ocean floor, where y is the depth in meters below sea level and x is the time in seconds.

Front

How do you interpret the slope in the equation y = -7x - 3?

Back

The slope of -7 indicates that the fish is descending 7 meters for every second it swims.

Front

What is the starting depth of the fish in the equation y = -7x - 3?

Back

The starting depth is 3 meters below sea level.

Front

What is the equation that represents the total cost y of renting x hours of a boat if the cost is $0.50 per hour?

Back

y = 0.5x.

Front

If Cheddar cheese costs $4.25 per pound, what is the equation for the total cost y for x pounds?

Back

y = 4.25x.

Front

What does the y-intercept represent in the equation y = 0.5x + 14?

Back

The y-intercept (14) represents the initial cost before any time is rented.

Front

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

Back

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

Front

What is the relationship between x (time in hours) and y (total hours driven) if a family drives 6 hours a day?

Back

The relationship is linear, represented by the equation y = 6x.

Front

What does a negative slope indicate in a graph?

Back

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

Front

What is the meaning of the term 'linear equation'?

Back

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