Rosalita is making chocolate chip cookies. She needs 20 ounces of
1 answer:
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Answer:
d. Jessica can have up to 7 toppings on her pizza
Step-by-step explanation:
We know that the inequality that gives us the number of toppings Jessica can put on her pizza is where
, so, to find the number of topics we just need to solve the inequality.
Let's do it step-by-step
Step 1. Subtract 9.50 from both sides of the inequality
Step 2. Distribute 0.75 to the two terms inside the parenthesis
Step 3. Add 0.75 to both sides of the inequality
Step 4. Divide both sides of the inequality bu 0.75
Jessica can put up to 7 topping on her pizza.
We can conclude that the correct answer is d. Jessica can have up to 7 toppings on her pizza
They arrive at the same answer because Jenna used the distributive property while Mia used the order of operations PEMDAS. In a lot of aspects of math, there are many approaches to reach the same answer.
Jenna's approach makes more sense, in my opinion, because when we multiply large numbers we're going to use the distributive property anyway. So why not just have it written down instead of done mentally in our head.
As a visual way to see why this works, check out the diagram below. We have a rectangle with height 5. The length of 34 is broken up into 30 and 4, so 34 = 30+4.
The blue portion has area of 5*30 = 150, while the red portion has area of 5*4 = 20. The two regions combine to 150+20 = 170.
So this diagram shows why Jenna's method is valid. Mia's method is valid as well, but again, we'll use some form of the distributive property to multiply 5 and 34. The only advantage that Mia has is that she uses one less written step compared to Jenna.
