Question

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.

Answer 1

Answer:

$4\leq x \leq 6$

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:

$4\leq x \leq 6$

Where x denotes the weight of frozen yogurt.

Answer 2

The correct answer is:

4 ≤ x ≤ 6.

Explanation:

The cup is filled with 4 oz. of yogurt before any toppings are added.  This makes the smallest weight 4.

When toppings are added, they are allowed up to a total weight of 6 oz.  This makes the largest weight 6.

This means that any weight between, and including, 4 and 6 oz. is acceptable.  Letting x represent the total weight, this gives us the inequality
4 ≤ x ≤ 6.