# Height Growth Decreases with Age

## Recent Studies show the Younger you are the faster your Height increases

A recent study was done between Max, 8 years old, and Bob, 10 years old comparing their heights.

The original hypothesis was that Age will not decrease your rate of growth. At the beginning of the data collection Max was 80 cm tall and Bob 100 cm tall. However the data showed that Max was growing steadily at 6 cm a month, whereas Bob was only growing 4 cm a month.

In conclusion the original hypothesis was wrong, the study showed that your height increase rate is affected by your age; Age will decrease rate of growth. In summary, both Max and Bob were the same height after 10 months.

## Graph (shown above)

Image above shows the data between Max and Bob. Orange lines shows Bob's growth, Purple line shows Max's growth. Y-axis is height (cm), X-axis is time elapsed (months). Both were 140 cm tall at month 10 of the analysis. POI: (10,140)

As it is shown the data was only observed for 15 months, as your rate of growth depends on your age. After 15 months both Max and Bob will be older, and as it was proven the older you are the less your growth rate is, meaning that after 15 months both Max and Bob will grow at different growth rates; likely at less rates than they were before.

## Height Depends on Age

Above shown: Bob's Table of Values for Data collected

n represents the number of months

h represents the height (cm)

Equation: 5n+150

*Equation is accurate for only 15 months from point of observation, as age increases the rate of growth will change

## Height Depends on Age

Above shown: Max's Table of Values for Data collected

n represents the number of months

h represents the height (cm)

Equation: h=6n+80

*Equation is accurate for only 15 months from point of observation, as age increases the rate of growth will change

## Summary

In summary, the data observed is significant as it shows us that as your age increases your height increases as well. Furthermore, it also shows us that at younger ages we grow much faster than we do as we get older. However the data may prove to be different in the real world, even with the same ages, as every person grows at different rates and they grow in different ways. So likely if you were to graph a real situation, it would most likely not be linear, as well may be curved or have no line of best fit. Most likely however, all data sets will show that younger children tend to grow faster than teenagers or older kids.

In the data observed we can see the younger child, Max growing faster than the older one Bob. In the graph it is evident as the line is steeper, while in the equation the value of m is larger showing as the months increase so does the height and more than Bob. From this we can find that both will be 140 cm from 10 months of the observation.