Question

The total cost for buying new sneakers for the basketball team an be found by using the function y=25x + 65, is where x is the number of players. If between 9 and 16 players need new sneakers. Find the domain and range of this situation

Answer 1

`Domain\ =\ \{x: 9,10,11....16\}`

`Range\ =\ \{y:290, 315,340.....465\}`

Explanation:

Given

`y = 25x + 65`

Required

Determine the range and domain when x = 9 to 16

The domain is the set of

`Domain\ =\ \{x: 9,10,11....16\}`

Solving for the range;

When x = 9

`y = 25 * 9 + 65`

`y = 225 + 65`

`y = 290`

When x = 10

`y = 25 * 10 + 65`

`y = 250 + 65`

`y = 315`

When x = 11

`y = 25 * 11 + 65`

`y = 275 + 65`

`y = 340`

You continue till you get to x = 16

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When x = 16

`y = 25 * 16 + 65`

`y = 400 + 65`

`y = 465`

Hence; the range is

`Range\ =\ \{y:290, 315,340.....465\}`