Linear Equations - Word Problems - mixed

Front

What does the equation y = mx + b represent in a linear equation?

Back

It represents a straight line where m is the slope and b is the y-intercept.

Front

In the equation y = 2.50x + 225, what does x represent?

Back

x represents the number of posters ordered.

Front

If y = 2.50x + 225, what is the total cost when x = 400?

Back

$1225.00

Front

What does the slope in a linear equation indicate?

Back

The slope indicates the rate of change of y with respect to x.

Front

In the equation y = -25x + 120, what does the negative slope indicate?

Back

It indicates that y decreases as x increases.

Front

What is the y-intercept in the equation y = 120x + 250?

Back

The y-intercept is 250.

Front

How do you find the number of hours rented if y = 120x + 250 and y = 790?

Back

Set 790 = 120x + 250 and solve for x.

Front

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

Back

A linear equation is an equation that forms a straight line when graphed.

Front

In the context of word problems, what does 'x' typically represent?

Back

x typically represents the variable or unknown quantity being solved for.

Front

What is the formula to calculate the total cost in a linear equation?

Back

Total Cost = (Cost per item * Number of items) + Fixed costs.