At the frozen yogurt shop, a machine fills cups with 4 ounces of frozen yogurt before adding the toppings. after the cups are filled, customers add as many toppings as they want without exceeding a total weight of 6 ounces. which of the following represent the acceptable weights for the frozen yogurt options? select all that apply.

Step-by-step explanation:

Given : At the frozen yogurt shop, a machine fills cups with 4 ounces of frozen yogurt before adding the toppings.

After the cups are filled, customers add as many toppings as they want without exceeding a total weight of 6 ounces.

To Find: Which represent the acceptable weights for the frozen yogurt ?

Solution :

Since we are given that  a machine fills cups with 4 ounces of frozen yogurt before adding the toppings.

So, the smallest weight with which they can fill the cup is 4 ounces

We are also given that After the cups are filled, customers add as many toppings as they want without exceeding a total weight of 6 ounces.

So, this concludes that the weight of the cup cannot exceed 6 ounces .

So,  the acceptable weights for the frozen yogurt is:

Where x denotes the weight of frozen yogurt.

table 3 represents a direct variation function. : )