If y varies directly as x, and y=7 when x=3, find y when x=7

Answer: OPTION A
Step-by-step explanation:
Direct variation, by definition, has the form shown below:
y=kx
Where k is the constant of proportionality.
Given the information in the problem , you can find k:
[tex]7=3k[/tex]
[tex]k=7/3[/tex]
Now you can find y when x=7 as following:
[tex]y=(7/3)x[/tex]
Substitute values. Then:
[tex]y=(7*7)/3\\y=49/3[/tex]
Answer:
option A is correct, i.e. y = 7x/3 ; y(7) = 49/3.
Step-by-step explanation:
If y varies directly as x, we can write its relationship as given below:-
y = m*x
where m is the slope of the line on its graph.
Given y=7 when x=3, we can substitute these values in the equation and find m as follows:-
7 = m*3
m = 7/3
So, the required equation is as follow:-
y = 7/3 x
Finding y when x=7, substitute x=7 in the above equation,
y = (7/3)*(7) = 49/3
Hence, option A is correct, i.e. y = 7x/3 ; y(7) = 49/3.