Step Functions Practice

Front

What is a step function?

Back

A step function is a piecewise constant function that jumps from one value to another without taking on any intermediate values.

Front

How do you calculate the total cost with tax?

Back

To calculate the total cost with tax, multiply the original price by the tax rate and then add that amount to the original price.

Front

What is the tax rate if a candy bar costs $0.55 and the total cost with tax is $0.58?

Back

The tax rate can be calculated as (Total Cost - Original Price) / Original Price. In this case, (0.58 - 0.55) / 0.55 = 0.0545 or approximately 5.45%.

Front

How do you determine the cost of mailing a package based on weight?

Back

The cost of mailing a package is typically determined by a pricing table that specifies rates based on weight categories.

Front

What is the total cost of three candy bars priced at $0.55 each before tax?

Back

The total cost before tax for three candy bars priced at $0.55 each is 3 * 0.55 = $1.65.

Front

How do you calculate the rental cost for a machine based on the number of days rented?

Back

To calculate the rental cost, multiply the daily rental rate by the number of days rented.

Front

If a lawyer charges $120 per hour, how do you calculate the cost for a fraction of an hour?

Back

To calculate the cost for a fraction of an hour, convert the fraction to a decimal and multiply it by the hourly rate.

Front

What is the total cost for 3 hours and 20 minutes of legal services at $120 per hour?

Back

Convert 20 minutes to hours (20/60 = 0.333). The total cost is 3.333 hours * $120 = $400.

Front

What is the importance of understanding tax calculations in real-life scenarios?

Back

Understanding tax calculations is important for budgeting, financial planning, and making informed purchasing decisions.

Front

How can you apply step functions in real-life situations?

Back

Step functions can be applied in scenarios such as pricing models, tax brackets, and utility rates where costs change at specific intervals.