Multiple Representations

Front

What does the inequality x >= 3 represent on a number line?

Back

It represents all numbers greater than or equal to 3, including 3 itself.

Front

What is the equation that represents a linear relationship between two variables?

Back

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

Front

What does the equation y = -1200x represent in the context of a submarine's depth?

Back

It represents the depth of the submarine as it descends at a rate of 1200 feet per hour.

Front

How do you determine the total cost of a gym membership with a fixed fee and a monthly charge?

Back

Use the equation: Total Cost = Fixed Fee + (Monthly Charge * Number of Months).

Front

What does the equation 50 + 20m = 290 represent in Jim's gym membership scenario?

Back

It represents the total amount Jim has paid for his gym membership, where m is the number of months.

Front

How can you represent a situation where a worker charges a fixed fee plus an hourly rate?

Back

Use the equation: Total Cost = Fixed Fee + (Hourly Rate * Hours Worked).

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change between the two variables.

Front

What does the term 'y-intercept' refer to in a linear equation?

Back

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

Front

How can you find the values that correspond to a linear equation?

Back

By substituting different values for x into the equation to find the corresponding y values.

Front

What does the equation 7x + 35 = 63 represent in Kylie's car bill scenario?

Back

It represents the total cost of Kylie's car bill, where x is the number of hours worked.