An engraver charges a $10 fee plus $6 for each line of engraving. How do you write a function to describe this? What is a reasonable domain and range for the function for up to 8 lines of engraving?
1 Answer
Domain:
Range:
Explanation:
In a y = mx + b equation, the $10 flat rate would represent b, the constant-- because the $10 never changes. Since the cost will change depending on how many lines are engraved, our m value will be 6.
y is another way of writing f(x). So that's how we get
For our domain, you mentioned that it must be reasonable to up to 8 lines. Since x represents the number of lines, we can say that our range must be less than or equal to 8. Of course, we cannot engrave a negative number of lines, which is why this would translate to
For our range, the cost cannot sink below $10-- because even if you engrave 0 lines, the $10 flat rate will still remain. 8 engraved lines will produce a result of $58;
Hope this helps!
Best wishes,
A highschool student
