Question

which table represents viable solutions for y=5x, where x is the number of tickets sold for the school play a y is the amount of money collected for the tickets?

Answer 1

Given:

The given equation is:

$y=5x$

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,

$y=5x$

For $x=0$,

$y=5(0)$

$y=0$

For $x=10$,

$y=5(10)$

$y=50$

For $x=51$,

$y=5(51)$

$y=255$

For $x=400$,

$y=5(400)$

$y=2000$

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 $x=65$

$y=5(65)$

$y=325$

Since the ordered pair (65,350) does not satisfy the given equation, therefore the option D is incorrect.

Hence, the correct option is C.