Question

Fingernails grow about \[1.5\] inches per year. How long would it take to grow nails \[37\] inches long?

Answer 1

Hint: In order to solve the question , we need to understand the given mathematical statement properly. We have to convert this word problem into a mathematical equation as fingernails grow about \[1.5\] inches per year. To find the time taken to grow nails \[37\] inches long by this formula \[Time{\text{ taken}} = \dfrac{{Total{\text{ }}inches}}{{inches{\text{ }}per{\text{ }}year}}\] . As a result we can get the required solution.
Formula:
 \[Time{\text{ taken}} = \dfrac{{Total{\text{ }}inches}}{{inches{\text{ }}per{\text{ }}year}}\]

Complete step-by-step answer:
In this given problem,
We have the value of fingernails growing about \[1.5\] inches per year and To calculate time it would take to grow nails \[37\] inches in length.
Fingernails grows per year \[ = 1.5\] inches
So, we calculate how long it takes to grow fingernails to \[37{\text{ }}inches\] , so we can simplify it.
 \[Time{\text{ taken}} = \dfrac{{Total{\text{ }}inches}}{{inches{\text{ }}per{\text{ }}year}} = \left( {\dfrac{{37}}{{1.5}}} \right)years\]
We can rewrite the denominator \[1.5\] as \[\dfrac{3}{2}\] , so we can get
Nail will grow \[37'' = \left( {\dfrac{{37}}{{\dfrac{3}{2}}}} \right)years\]
We need to solve the fraction values, so we get
Nail will grow \[37'' = \left( {\dfrac{{2 \times 37}}{3}} \right).1year\]
By simplifying the fraction to find the time taken for the fingernails grows \[37\] inches.
Nail will grow \[37'' = 24.67\] years.
Finally, we can get the time taken for the fingernails to grow about \[1.5\] inches per year. \[24.67\] years take to grow nails \[37\] inches long.
So, the correct answer is “\[24.67\] ”.

Note: Always try to understand the mathematical statement carefully and keep things distinct.
Remember the properties and apply appropriately.
Try to solve this problem by calculating the time taken for the fingernail to grow by how long it takes to grow \[37\] inches from the formula.
In math, time can be defined as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.
Time is a term used to quantify, measure or compare the duration of events or the intervals between them, and even, sequence events.