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Step-by-step explanation:
Alright so what you're looking at here is a lot of addition and how to look at percent's using decimals.
Lets look at what the problem gives us first.
p = the original price of a single scoop of ice cream
p has increased by 7%
New price can be represented as 1.07p
They're asking what else can represent the new price.
Now this is where you have to learn how decimals and percentages relate.
Here is a quick little lesson that.
Remember that 1 and 1.00 are the same. The 00 after the 1 in a decimal are just placeholders that could be added onto. So :
1.00 or 1 = 100%
0.50 or .50 = 50%
Getting a little lower :
0.09 = 9%
0.43 = 43%
0.75 = 75%
You just have to see where the "." is located in the number and you can find a percentage within a decimal very easily.
Now lets translate this to your problem by looking at the multiple choice answers given starting with A.
1 + 7p
So 7 is the same as 7.00 and is a whole number here so it would actually equal to 700% which is not what we are looking for. We are looking for 7% only.
Moving onto B :
p + 0.7p
What this is saying in word form is :
p (The original price) + 0.7 (70%) times p (The original price)
Which would be a 70% increase which again is too much as we are looking for 7%.
To C :
1 + 0.07p
Now this is where we are onto something. This 0.07 is actually equal to 7% which is what we are looking for! But the thing here is the question is asking us to add this increase onto the original price. Not just the number 1. So we need p instead of 1 which is conveniently our next answer choice.
D :
p + 0.07p
This is giving us the original price (p) and adding it with 0.07 (7%) multiplied by the original price again.
Adding these two values gives us the original value (p) and adds the original value again (p) but also adds on the 7% increase we are looking for.
I hope this gives you what you're looking for and helps you!
If you have any questions feel free to comment them or message me :)
