Question

Betty and Dyan can pick 8 quarts of strawberries in 45 minutes if they work together. It takes Dyan x minutes to pick 8 quarts of strawberries alone.

What does the denominator of the rational expression 45x−10 mean in the context of this situation?




a. The denominator represents the rate at which Dyan picks 8 quarts of strawberries.

b. The denominator represents the time it takes Betty to pick 8 quarts of strawberries if she takes 10 more minutes than Dyan.

c. The denominator represents the time it takes Betty to pick 8 quarts of strawberries if she takes 10 fewer minutes than Dyan.

d. The denominator represents the rate at which Betty picks 8 quarts of strawberries.

Answer 1

The answer is letter c.

Explanation:

In order to know the answer, it is best to check what is given in the scenario above.

45 minutes = the time it takes for Betty and Dyan to pick 8 quarts of strawberries.

45x minutes= this refers to the time it takes for Dyan to pick 8 quarts of strawberries

In the rational expression, 45x-10, we've already known that 45x refers to minutes or the time it takes for Dyan to pick 8 quarts of strawberries, thus 10 here refers to minutes or time as well.

The mathematical operation used is "subtraction," so this means that Betty takes a shorter time than Dyan when it comes to picking strawberries in the situation above.

Thus, the denominator represents the time it takes Betty to pick 8 quarts of strawberries if she takes 10 fewer minutes than Dyan.