4.15 Writing Equations from Word Problems

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you represent a flat fee plus a variable cost in an equation?

Back

The equation can be represented as y = mx + b, where m is the variable cost per unit, x is the number of units, and b is the flat fee.

Front

Write the equation for Shelby's savings over time if she saves $10 each week starting with $155.

Back

y = 10x + 155, where y is the total savings and x is the number of weeks.

Front

Write the equation for George's spending over time if he spends $15 each week starting with $230.

Back

y = -15x + 230, where y is the total amount left and x is the number of weeks.

Front

What does the intersection of two equations in a system represent?

Back

The intersection represents the point where both equations have the same value, indicating a common solution.

Front

How do you set up an equation for a service that charges a flat fee plus a per-hour rate?

Back

Use the form y = mx + b, where m is the hourly rate, x is the number of hours, and b is the flat fee.

Front

Write the equation for Peppy Pets' dog care service.

Back

y = 3x + 15, where y is the total cost and x is the number of hours.

Front

Write the equation for Happy Hounds' dog care service.

Back

y = x + 21, where y is the total cost and x is the number of hours.

Front

What is the total cost equation for the Harris County Fair?

Back

y = 2.5x + 15, where y is the total cost and x is the number of rides.

Front

What is the total cost equation for the Montgomery County Fair?

Back

y = 3x + 10, where y is the total cost and x is the number of rides.