HW 8.4 Standard Form Word Problems

Front

What does the x-intercept represent in the equation 15x + 20y = 400?

Back

The number of short sleeve shirts Juan must sell if he does not sell any long sleeve shirts.

Front

What is the equation that represents the total cost of a holiday meal for x people, including a delivery fee of $30?

Back

Front

Define the term 'x-intercept' in the context of a linear equation.

Back

The x-intercept is the point where the graph of the equation crosses the x-axis, indicating the value of x when y is zero.

Front

What does the slope of a linear equation represent?

Back

The slope represents the rate of change of y with respect to x, indicating how much y changes for a unit change in x.

Front

In the equation 15x + 20y = 400, what does the coefficient of x (15) represent?

Back

The coefficient of x (15) represents the amount of money raised for each short sleeve shirt sold.

Front

What is the meaning of the y-intercept in a linear equation?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x is zero.

Front

How do you find the x-intercept of the equation 15x + 20y = 400?

Back

Set y to 0 and solve for x: 15x = 400, so x = 400/15.

Front

What is the formula for calculating the total cost of an item with a fixed delivery fee?

Back

Total Cost = Cost per item * Number of items + Delivery Fee.

Front

What does the term 'linear equation' mean?

Back

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

Front

In the context of word problems, what is a variable?

Back

A variable is a symbol used to represent an unknown quantity in mathematical expressions or equations.