01 Finding Rates of Change

Front

What is the formula to calculate hourly rate of pay?

Back

Hourly Rate = Total Earnings / Total Hours Worked

Front

If a runner covers 15 miles in 3 hours, what is her speed?

Back

Speed = Distance / Time = 15 miles / 3 hours = 5 mph

Front

How do you calculate the average rate of change?

Back

Average Rate of Change = (Final Value - Initial Value) / (Final Time - Initial Time)

Front

What is a rate in mathematical terms?

Back

A rate is a fraction of two different quantities, often expressed as a quantity per unit of another quantity.

Front

If a plane travels 1500 miles in 5 hours, what is its average speed?

Back

Average Speed = Total Distance / Total Time = 1500 miles / 5 hours = 300 mph

Front

What is the total time worked if someone works from 8:00 AM to 5:00 PM?

Back

Total Time = 9 hours (from 8 AM to 5 PM)

Front

If a climber ascends from 400 feet to 700 feet in 4 hours, what is his average rate of change?

Back

Average Rate of Change = (700 ft - 400 ft) / (6 hr - 2 hr) = 75 ft/hr

Front

What is the significance of units in rates?

Back

Units provide context to the numbers in rates, indicating what is being measured (e.g., miles per hour, feet per hour).

Front

How do you find the total earnings if you know the hourly rate and hours worked?

Back

Total Earnings = Hourly Rate x Total Hours Worked

Front

What is the average speed of a vehicle that travels 300 miles in 3 hours?

Back

Average Speed = 300 miles / 3 hours = 100 mph