Linear Application Word Problems

Front

What is a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does 'x' represent in a word problem involving quantities?

Back

In word problems, 'x' typically represents the number of items or units being considered.

Front

What does 'y' represent in a word problem involving costs?

Back

In word problems, 'y' usually represents the total cost or total amount being calculated.

Front

How do you set up an equation from a word problem?

Back

Identify the quantities involved, assign variables to them, and express the relationships between them using mathematical operations.

Front

What is the formula to calculate total cost with a fixed fee and variable cost?

Back

Total Cost = Fixed Fee + (Cost per Item × Number of Items) or y = mx + b.

Front

If a ticket costs $16, what is the total cost for 5 tickets?

Back

Total Cost = 5 × $16 = $80.

Front

How do you find the cost per item from a total cost?

Back

Cost per item = Total Cost / Number of Items.

Front

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

Back

The slope indicates the rate of change; it shows how much 'y' changes for a unit change in 'x'.

Front

How do you interpret the y-intercept in a linear equation?

Back

The y-intercept is the value of 'y' when 'x' is 0; it represents the starting value or fixed cost.

Front

What is the equation for a meal cost that includes a delivery fee?

Back

y = cost per person × number of people + delivery fee.