FROM THE WORD PROBLEMS CHECK IF IT IS DISCRETE OR CONTINUOUS WORKSHEET

Problem 1 :

A 20 gallon bathtub is draining at a rate of 2.5 gallons per minute. The number g of gallons remaining is a function of the number m of minutes. Is the domain discrete or continuous ?

Solution

Problem 2 :

Are the data shown in the table discrete or continuous ? Explain.

Solution

Problem 3 :

The function m = 40 - 8.5 b represent the amount m of money (m) in dollars that you have after buying b balls of yarn. Graph the function using domain of 0, 1, 2 and 3. Is the domain discrete or continuous ?

Solution

Problem 4 :

The input of one function is length. The input of another function is number of shirts. Which function has continuous domain ? Explain.

Solution

Problem 5 :

The function y = 3.25x converts length from x meters to y feet. Graph the function. Is the domain discrete or continuous.

Solution

Problem 6 :

Area A of the triangle is a function of the height h. Is the domain discrete or continuous ?

Solution

Problem 7 :

You are packing books into boxes. The function y = 20x represents the number y of books will fit into x boxes.

a) Is 4 in the domain ? Explain 

b) Is 60 in the range ? Explain

Solution

Problem 8 :

You want to fill a 2 foot shelf with framed pictures. There are x pictures in 4 inch frames and y pictures in 8 inch frames 

a) Write the function for this situation

b) Is the  function discrete or continuous.

Solution