TMS Linear Equations Word Problems

Front

What is a dependent variable in a linear equation?

Back

The dependent variable is the variable that depends on the value of another variable, often represented as 'y' in the equation.

Front

Write the slope-intercept form of a linear equation.

Back

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

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

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 do you write an equation for a situation with a flat fee and a variable cost?

Back

The equation is written as C = flat fee + (variable cost per unit * number of units).

Front

If a service costs $50 plus $8 per mile, how would you express this as an equation?

Back

C = 8m + 50, where C is the total cost and m is the number of miles.

Front

What is the equation for a meal that costs $12.50 per person plus a $30 delivery fee?

Back

y = 30 + 12.50x, where y is the total cost and x is the number of people.

Front

In the equation C = 15 + 0.20x, what does each variable represent?

Back

C represents the total cost, 15 is the flat fee, and 0.20 is the cost per minute of usage.

Front

How do you determine the total cost from a linear equation?

Back

Substitute the value of the independent variable into the equation to find the corresponding value of the dependent variable.

Front

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

Back

Coefficients represent the rate of change or the cost per unit in a linear relationship.