Linear Functions Word Problems

Front

What is the equation for the total cost of x pounds of fruit if Lee charges $3 for a basket and $2.50 per pound?

Back

y = 2.50x + 3

Front

How do you represent the total amount of money Jerry has after working x hours if he starts with $20 and earns $7 per hour?

Back

y = 7x + 20

Front

What is the equation for the cost of a holiday meal for x people if it costs $12.50 per person plus a $30 delivery fee?

Back

y = 12.5x + 30

Front

What is the general form of a linear function?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in a linear function?

Back

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

Front

What does the y-intercept (b) represent in a linear function?

Back

The y-intercept is the value of y when x = 0.

Front

If a function is graphed as y + 4 = |x + 2|, what is the vertex of the graph?

Back

The vertex is (-2, 4).

Front

What is the total charge for x hours of car rental if Easy Car Rental charges $8.50 per hour plus a $25.50 rental fee?

Back

y = 8.5x + 25.5

Front

How do you find the total cost of a service that has a fixed fee and a variable cost per unit?

Back

Use the equation y = mx + b, where m is the variable cost per unit and b is the fixed fee.

Front

What is the significance of the x variable in a linear function?

Back

The x variable typically represents the independent variable or input of the function.