AMPED Word Problems

Front

What does the y-intercept of the equation y=3x+10 represent?

Back

The monthly fee.

Front

If it costs $5 to wash a cat and $7.50 to wash a dog, and the store made $60 from washing 6 cats, how many dogs were washed?

Back

4 dogs.

Front

Write a linear equation for the cost of joining eTunes music with a startup cost of $7.95 and $0.95 per song downloaded.

Back

y = 0.95x + 7.95.

Front

What does the slope of the equation y=0.5x+10 represent?

Back

The per-mile fee for the moving truck.

Front

If the cost for new carpet is $8.55 per square yard and the total cost for 700 square yards is $6164, how much is the installation fee?

Back

$179.

Front

Define a linear equation.

Back

An equation that models a relationship between two variables with a constant rate of change.

Front

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

Back

The rate of change of the dependent variable with respect to the independent variable.

Front

What does the y-intercept indicate in a real-world context?

Back

The starting value of the dependent variable when the independent variable is zero.

Front

How do you find the total cost in a linear cost equation?

Back

By substituting the number of items into the equation and solving for y.

Front

What is the formula for calculating the total cost of a service with a fixed fee and a variable fee?

Back

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