Hello there. To solve this question, we'll have to set up an equation for each of the situations below.
a) The pay P for t hours at $17 an hour.
For this, we have a function P of t, that is, the pay depends on the number t of hours worked.
We can find the function by simply multiplying the pay for an hour by the number of hours, that is
This is the answer contained in the option C).
b) The total pay P for a day of t working hours on which you charge a base rate of $32 and $14 for each hour worked.
In this case, again we multiply the number of hours worked by the cost for each hour and add $32, therefore
This is the answer contained in the option A).
c) The total pay P for t hours at $22 and $16 for each additional hour.
In this case, we multiply 22 by the first hour, in this case, 1 and add it to 16 multiplied by (t - 1), that is, when t = 1, you get 0, that is, P = 22, therefore
This is the answer contained in the option D.