EOC Practice Q3

Front

If John can complete a job in 8 hours and Sarah can complete the same job in 6 hours, how long will it take them to complete the job if they work together?

Back

3.43 hours

Front

For Benny, it takes six hours to clean the attic. However, Mary takes twelve hours to clean the attic. If working together, how long would they take?

Back

4 hours

Front

Back

x = 4 and x = -2

Front

A city has a population of 8792 people. The area of the city is approximately 6.5 square miles. Approximately, how many people per square mile live in the city?

Back

1353 people per square mile

Front

What is the formula to calculate the rate of work when two people work together?

Back

Rate = (1/Time1 + 1/Time2) = 1/Total Time

Front

Define 'discontinuity' in the context of functions.

Back

Discontinuity occurs when a function is not continuous at a point, meaning it has a break, jump, or hole.

Front

What is the formula for population density?

Back

Population Density = Total Population / Area

Front

If two workers can complete a job in different times, how do you find the time taken when they work together?

Back

Use the formula: 1/Total Time = 1/Time1 + 1/Time2.

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph.

Front

How do you find points of discontinuity for a rational function?

Back

Set the denominator equal to zero and solve for x.