13. ruby is having a hot dog party. she has 15 hot
dogs but needs to purchase more hot dogs. she can
purchase up to 8 boxes of hot dogs. each box
contains 32 hot dogs. ruby cannot purchase partial
boxes. the function that models the number of hot
dogs ruby has is f(b) 32b + 15, where b is the
number of hot dogs purchased.
what is the practical domain and range of the
function?

What We Know:

She can buy up to 8 boxes. Each box had 32 hot dogs. She can't buy partial boxes.

What We Need To FInd Out:

Practical Domain and Range.

On a graph, domain is the x value, (on the horizontal line,) and range is the y value, (on the vertical line.) She can buy 8 boxes. Practically, she wouldn't buy zero boxes of hot dogs, so it's 1-8. She has 15 hot dogs already, so add that to the first 32. 47-271.

So, if I'm correct...

Domain: 1-8

Range: 47-271

Please let me know if this is helpful.