H=30+2.5A find the slope

Question

For children between the ages of 2 and 12 years, the relationship between the median height and age can be approximated by the linear function H=30+2.5A. Where A is the age in years and H is the median height in inches, what is the slope of the function?

Answer 1

Since H=2.5A+30 is a linear function with variable "A" as the independent variable, and "H" as the depended variable, therefore you can apply the "slope-intercept form" equation:

 

y=mx+b where

y is depended variable

x is independent variable

m is the slope (the coefficient of the independet variable)

b is the y-interecept ( where the graph of the function intercepts the y-axis, or in other words when x=0)

 

therefore m in H=2.5A+30 equals 2.5, or the slope is equal to 2.5

The final answer maybe in fraction form so slope = 2.5 = 25/10=5/2 (the rise over run when graphing the function)