Question

The amount of money that Li spends on a video game depends on how many game he purchases. if Li has at most $90 to spend on games for his Xbox 360 and the games cost $22.50 each, what is the domain of this function?

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Answer 1

Hence Domain set for function is {0,1,2,3,4}

Explanation:

Given:

Total amount spend =90

22.5 $ each game cost

To Find:

What is domain for the function

Solution:

Now domain mean all possible value for input so that it gives real output as per condition mentioned

So Our condition is that li spends money on video game depends on how many game he purchases

so total money spent on game is output

i.e in order to get that much amount of games.

If he spends 22.5 $ for each game and Total amount spent is 90

So 90/22.5=4 Now amount of game he would purchase will be 4

i.e range for lil is 0 to 4 wiht 90 $ in hand

So Domain set will be ranging from{0,1,2,3,4}