Rational Word Problems and graphs

Front

What is a rational word problem?

Back

A rational word problem is a mathematical problem that involves rational numbers and requires the application of mathematical concepts to solve real-world scenarios.

Front

How do you find the combined work rate of two people working together?

Back

To find the combined work rate, add the individual work rates of each person. If person A can complete a job in 'a' hours and person B in 'b' hours, their combined work rate is 1/a + 1/b.

Front

What is the formula to calculate the time taken when two people work together?

Back

The formula is: Time = 1 / (1/a + 1/b), where 'a' and 'b' are the times taken by each person to complete the job individually.

Front

How do you set up an equation for a canoe traveling upstream and downstream?

Back

Front

What is an asymptote in graphing?

Back

An asymptote is a line that a graph approaches but never touches. It can be vertical, horizontal, or oblique.

Front

How do you determine the vertical asymptote of a rational function?

Back

The vertical asymptote occurs where the denominator of the function equals zero, provided the numerator is not also zero at that point.

Front

What is the significance of the horizontal asymptote in a rational function?

Back

The horizontal asymptote indicates the behavior of the function as the input values approach infinity or negative infinity.

Front

How do you solve for the average speed of a current in a river problem?

Back

Set up the equation based on the total time taken for upstream and downstream travel, incorporating the speed of the canoe and the current.

Front

What is the relationship between work rate and time taken to complete a job?

Back

Work rate is inversely proportional to the time taken. If the work rate increases, the time taken decreases, and vice versa.

Front

How do you find the time taken for one person to complete a job alone if given the combined time with another person?

Back

Use the combined work rate formula to express the time taken by the second person in terms of the total time and the first person's time.