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Chapter 1: Problem 29

The 2017 World Almanac and Book of Facts reported that the U.S. occupation projected to grow the most is personal care aide. By 2024 there will be a need for 160,328 personal care aides, a growth of about \(26 \%\) over 2014 levels. How many personal care aides were there in 2014 ?

Short Answer

Expert verified
The number of personal care aides in the U.S. in 2014 was approximately 127,253.

Step by step solution

01

Understand the problem

The problem provides the projected number of personal care aides in U.S by 2024, and the percentage growth rate from 2014 to 2024. We are asked to find the initial number of personal care aides in 2014.
02

Apply the formula for calculating initial amount

We can use the formula \[Initial Amount = \frac{Final Amount}{1 + growth rate}\] to find the number of personal care aides in 2014. The final amount (projection for 2024) is 160328, and the growth rate is 26% or 0.26. Plugging these values into the formula we get: \[Initial Amount = \frac{160328}{1 + 0.26}\]
03

Calculate the initial amount

Calculate the number after plugging the values into the formula. This will give us the initial number of personal care aides in 2014.

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