01 Finding Rates of Change

01 Finding Rates of Change

Assessment

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Mathematics

8th Grade

Hard

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15 questions

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1.

FLASHCARD

Front

What is the formula to calculate hourly rate of pay?

Back

Hourly Rate = Total Earnings / Total Hours Worked

2.

FLASHCARD

Front

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

Back

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

3.

FLASHCARD

Front

How do you calculate the average rate of change?

Back

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

4.

FLASHCARD

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.

5.

FLASHCARD

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

6.

FLASHCARD

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)

7.

FLASHCARD

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

8.

FLASHCARD

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).

9.

FLASHCARD

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

10.

FLASHCARD

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

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