Answer:
a) P(t) = 7t
b) P(8) = 56. P(8) is Michael's gross pay for 8 hours' work.
c) Michael worked 21 hours to get a paycheck for $147.
Explanation:
a) Pay attention to problem details. Functions come with all kinds of names and variables, not just f(x). You are told to use a function name of P and a variable name of t.
You have written the relationship correctly: pay in dollars is 7 times the number of hours.
... P(t) = 7t
b) P(8) = 7·8 = 56
P(8) is described by the problem statement as ...
... "his total amount on his paycheck, in dollars, for the week" in which he worked 8 hours for the week.
c) You want to find t such that P(t) = 147. Put that value into the equation for P(t) and solve for t.
... 147 = 7·t
... 147/7 = t = 21 . . . . . divide by the coefficient of t
Michael worked 21 hours to receive a paycheck of $147.