Unit 4 Retake

Front

What is the relationship between the amount of flour and the number of pans of brownies made?

Back

The relationship is a direct proportion. For every pan of brownies, a specific amount of flour is needed.

Front

How do you find the cups of flour needed per pan of brownies if 4 cups are used for 6 pans?

Back

Divide the total cups of flour by the number of pans: 4 cups ÷ 6 pans = 2/3 cups per pan.

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.

Front

What is the equation of a line in slope-intercept form?

Back

The equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

How do you determine the slope from a graph?

Back

The slope is calculated as the rise over run, which is the change in y divided by the change in x.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

If a swimming pool requires 0.003 chlorine per unit volume, what does this mean?

Back

It means that for every unit of volume of the pool, 0.003 units of chlorine are needed.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor that relates two proportional quantities.

Front

How can you write an equation from a table showing a linear relationship?

Back

Identify the slope and y-intercept from the table, then use the slope-intercept form to write the equation.