Question
upstudy study bank question image url

To increase any number by a percent, we can find the growth factor and multiply the number by that growth factor. Find the growth factor when 650 is increased by \( 24 \% \). The growth factor is

Ask by Li Parry. in the United States
Jan 24,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The growth factor is 1.24.

Solution

To find the **growth factor** when increasing a number by a certain percentage, you can use the following formula: \[ \text{Growth Factor} = 1 + \left( \frac{\text{Percentage Increase}}{100} \right) \] Given: - **Percentage Increase** = \(24\%\) Plugging the values into the formula: \[ \text{Growth Factor} = 1 + \left( \frac{24}{100} \right) = 1 + 0.24 = 1.24 \] **Therefore, the growth factor is \(1.24\).**

Reviewed and approved by the UpStudy tutoring team

error msg
Explain
Simplify this solution

The Deep Dive

To find the growth factor when increasing a number by a percentage, you simply convert the percentage into a decimal and add 1. For a \( 24\% \) increase, you convert this percentage to a decimal by dividing by 100, which gives us \( 0.24 \). Adding this to 1 results in a growth factor of \( 1 + 0.24 = 1.24 \). This means that when you multiply 650 by the growth factor of 1.24, you're effectively increasing it by 24%. So, the new value would be \( 650 \times 1.24 = 806 \). Voilà! You can use this simple method to quickly adjust any number for percentage increases, whether you’re budgeting, figuring out tips, or calculating grades. It's a handy tool in everyday life! Plus, knowing how to manipulate percentages opens up a whole world of mathematical possibilities, like understanding interest rates or discounts when shopping!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy