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
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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!