Linear Function Word Problems

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function. It indicates how much y changes for a unit change in x.

Front

What is the y-intercept in a linear function?

Back

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

Front

How do you find the total cost in a linear function problem involving fixed and variable costs?

Back

The total cost can be found using the equation y = mx + b, where m is the variable cost per unit, x is the number of units, and b is the fixed cost.

Front

If Max practiced for 127 minutes on Sunday and 38 minutes on Tuesday, how do you calculate the remaining minutes he needs to reach 300 minutes?

Back

Add the minutes practiced: 127 + 38 = 165. Then subtract from the goal: 300 - 165 = 135 minutes remaining.

Front

How do you set up an equation for a word problem involving sales?

Back

Identify the variables, determine the fixed and variable costs, and create an equation that represents the total revenue or total cost.

Front

In the Custom T Shop problem, what does the equation y = 8x + 15 represent?

Back

It represents the total cost (y) of ordering x shirts, where each shirt costs $8 and there is a one-time setup fee of $15.

Front

How do you write an equation for total sales from multiple products?

Back

Use the form ax + by = c, where a and b are the prices of the products, x and y are the quantities sold, and c is the total sales.

Front

What is the importance of understanding the original amount in a debt repayment problem?

Back

Understanding the original amount helps in calculating how much has been paid off and how much remains, which is crucial for financial planning.

Front

How do you determine the number of items sold from total revenue?

Back

Divide the total revenue by the price per item to find the number of items sold.