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.