Question

The total cost in dollars to buy uniforms for the soccer team players can be found using the function y= 28.95x + 4.25, where xis the number of uniforms purchased. If there are a minimum of 16 players and at most 20 players on the team, what is the range of the function for this situation?

Answer 1

Anser

The range of the function is [467.45, 583.25]

Solution-

The total cost in dollars to buy uniforms for the soccer team players can be found using the function,

`y= 28.95x + 4.25`

where,

x = number of uniform purchased,

y = cost of uniform.

Putting x =16 we can get the minimum cost and x = 20 we can get at most cost of the uniform or range of the function,

`\Rightarrow y= 28.95(16) + 4.25\ and\ y= 28.95(20) + 4.25`

`\Rightarrow y= 463.2 + 4.25\ and\ y= 579 + 4.25`

`\Rightarrow y= 467.45\ and\ y= 583.25`

Therefore, the range of the function is [467.45, 583.25]