14) Let y varies directly as x. If y = 12 when x = 4, then write a linear equation. What is the value of y when x = 5?
Nishant
Share
14) Let y varies directly as x. If y = 12 when x = 4, then write a linear equation. What is the value of y when x = 5?
Nishant
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
Your Answer:-
We are given that y is directly proportional to x
So,
[tex]\tt y \propto x[/tex]
In the first case
We have,
And we have y = 12 and x = 4
[tex]\tt y \propto x \\\\ \tt Removing \ \ proportional \ \ symbol \ \ by \ \ a \ \ constant\\\\ Let \ \ the \ \ constant \ \ be \ \ 'p' \\\\ y = px \\\\ \Rightarrow 12 = 4p\\\\ \Rightarrow 3=p[/tex]
We have the value of p as 3
[tex]\tt y = px \\\\ Replacing \ \ the \ \ values \ \ of \ \ x \ \ and \ \ p \\\\ \tt \Rightarrow y = 3(5) \\\\ \tt \Rightarrow y=15[/tex]
So, the value of y = 15 when x = 5
2nd Method:
[tex]\tt \dfrac{12}{4}=\dfrac{y}{5} \\\\ \tt \Rightarrow 3 = \dfrac{y}{5} \\\\ \tt \Rightarrow 3 \times 5 = y \\\\ \tt \Rightarrow15 =y[/tex]