Question

part a
write a linear function f jack can use to determine his pay.
a ( f(x) = 10x + 8 )
b ( f(x) = 15x + 3 )
c ( f(x) = 0.5x + 1 )
d ( f(x) = x + 18 )
(b) part b
which is a reasonable domain?
a ( 0 leq x leq 6 )
b ( 0 leq x leq 24 )
c ( 0 leq x leq 68 )
d ( 0 leq x leq 248 )

Explanation:

Part A

To determine the linear function for Jack's pay, we assume context (e.g., hourly pay with a base). A reasonable pay function: if \(x\) is hours, a base plus hourly. Option D: \(f(x)=x + 18\) could mean $1 per hour plus $18 base, or other interpretations, but among options, it's a valid linear form. Other options have less reasonable rates (e.g., 0.5x is too low, 15x too high for typical pay, 10x +8 also high). So D is chosen.

Domain for pay function (x, likely hours worked). A reasonable workday/week: 0 to 68 hours (e.g., over a week, 68 is high but possible; 6 is too low, 24 is a day but pay functions often span more, 218 is unrealistic). So \(0\leq x\leq68\) (option C) is reasonable.

Answer:

D. \( f(x) = x + 18 \)

Part B