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Math  /  Algebra

Question4 A value of 500 increases by 12%12 \%. Part A Write an equation that could be used to find the new value.

Studdy Solution

STEP 1

What is this asking? We need to find a bigger number than 500, specifically, the number that's 12% bigger! Watch out! Don't just calculate 12% of 500 and call it a day!
We're looking for the *new* value, which includes the original amount *plus* the increase.

STEP 2

1. Find the increase
2. Calculate the new value

STEP 3

Alright, let's **tackle this percentage increase**!
We're starting with a **value of 500**, and it's **increasing by 12%**.
To find the actual increase, we need to figure out what 12% of 500 is.

STEP 4

Remember, **"percent" means "out of 100."** So, 12% is the same as the fraction 12100\frac{12}{100}, which is equal to the decimal 0.120.12.
To find 12% of 500, we **multiply** 500 by 0.120.12.

STEP 5

500⋅0.12=60 500 \cdot 0.12 = 60 So, the **increase is 60**!

STEP 6

Now, we've got our **original value of 500** and our **increase of 60**.
To find the **new value**, we simply **add** the increase to the original value.

STEP 7

500+60=560 500 + 60 = 560 Boom! The **new value is 560**!

STEP 8

The equation to find the new value is 500+(0.12⋅500)=560500 + (0.12 \cdot 500) = 560.
The new value is 560.

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