ACA Fall Final Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two quantities that are directly proportional to each other. It is often expressed in terms of dollars per hour in financial contexts.

Front

How do you find the missing value in an equation?

Back

To find the missing value, you can isolate the variable by using inverse operations to solve the equation.

Front

What is the equation to calculate total cost with fixed and variable components?

Back

The equation is Total Cost = Fixed Cost + (Variable Cost per Hour × Number of Hours).

Front

If a cyclist rides 3 miles in 20 minutes, how do you find the time to ride 9 miles?

Back

To find the time to ride 9 miles, set up a proportion based on the rate: (3 miles / 20 minutes) = (9 miles / x minutes). Solve for x.

Front

What does the equation y = x - 3 represent?

Back

This equation represents a linear relationship where the output (y) is 3 less than the input (x).

Front

How do you calculate the unit rate?

Back

The unit rate is calculated by dividing the total amount by the number of units. For example, if you earn $37 for 4 hours, the unit rate is $37 / 4 hours.

Front

What is a linear equation?

Back

A linear equation is an equation that makes 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 is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change between the two variables in the equation. It shows how much y changes for a unit change in x.

Front

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate it on one side of the equation using algebraic operations such as addition, subtraction, multiplication, or division.

Front

What is the formula for calculating total cost in a service scenario?

Back

Total Cost = Cost of Parts + (Hourly Rate × Number of Hours Worked).