According to the graph of the two linear functions, Alex and Leo will take a time of 48 months to be at the same height.
How to use linear functions to describe the growth of two boys
Linear functions are first order polynomials of the form:
[tex]y = r\cdot x + y_{o}[/tex] (1)
Where:
- r - Growth rate, in inches per month
- x - Time, in months
- [tex]y_{o}[/tex] - Initial height, in inches
Based on information given on statement, we have the following two linear functions:
Alex
y = 0.25 · x + 60 (1)
Leo
y = 0.5 · x + 48 (2)
Lastly, we graph both lines with a graphing tool. The intersection between the two lines corresponds to the number of months it will take Alex and Leo to be of the same height. Based on the image attached we conclude that Alex and Leo will take 48 months to be at the same height.
Remark
The statement is incomplete and poorly formatted. Correct form is shown below:
Two boys are comparing how fast they are growing. Alex is 60 inches tall and growing at a rate of 1/4 of an inch every month. Leo is 48 inches tall and growing at a rate of 1/2 of an inch every month. Graph the point representing the number of months it will take Alex and Leo to be at the same height.
To learn more on linear functions, we kindly invite to check this verified question: https://brainly.com/question/21107621
