t = 45 + 60a represents the function that shows the total cost for the hours worked.
Solution:
Given that Plumber a charges an initial fee of $45 plus a rate of $60 per hour
To find: Write the function that shows the total cost for the hours worked
Let "t" represent the total cost for plumber
Let "a" be the number of hours the plumber worked
Initial fee = $ 45
Cost per hour = $ 60
We can frame a function as:
total cost = initial fee + (number of hours the plumber worked x Cost per hour)
t = 45 + 60a
Thus the above function shows the total cost for the hours worked.