Given:
The given equation is:
[tex]y=5x[/tex]
Where x is the number of tickets sold for the school play a y is the amount of money collected for the tickets.
To find:
The correct table of values from the given options.
Solution:
We know that the number of tickets and amount of money collected for the tickets cannot be negative. So, options A and B are incorrect.
We have,
[tex]y=5x[/tex]
For [tex]x=0[/tex],
[tex]y=5(0)[/tex]
[tex]y=0[/tex]
For [tex]x=10[/tex],
[tex]y=5(10)[/tex]
[tex]y=50[/tex]
For [tex]x=51[/tex],
[tex]y=5(51)[/tex]
[tex]y=255[/tex]
For [tex]x=400[/tex],
[tex]y=5(400)[/tex]
[tex]y=2000[/tex]
In option C, all the ordered pairs (0,0), (10,50), (51,255), (400,2000) are in the table. So, option C is correct.
For [tex]x=65[/tex]
[tex]y=5(65)[/tex]
[tex]y=325[/tex]
Since the ordered pair (65,350) does not satisfy the given equation, therefore the option D is incorrect.
Hence, the correct option is C.
