Question

An electrician charges a set fee of $100 for every house call and then charges an

additional $60 per hour. Make a table of values and then write an equation for C, in
terms of t, representing the total cost of the electrician's services if the electrician
spends t hours at the house working.

Answer 1

C = 60t + 100

Explanation:

our flat fee is 100 dollars, meaning you're charged straight up $100, and then for each hour the electrician works, you're charged another $60

this means that 100 stays constant, while the amount of times you multiply 60 changes based on the amount of hours the electrician works

therefore, our equation will be C = 60t + 100, where C represents the total cost while t represents the hours the electrician works

for our table, we can use the equation we just found to make one

the easiest and most reasonable numbers will be 1, 2, 3, 4, and 5, because it's unreasonable to charge a proportional amount for something such as 1.2948 hours

using the equation, we plug 1, 2, 3, 4, and 5 into C = 60t+100 to find C for t

C = 160, 220, 280, 340, 400

T = 1, 2, 3, 4, 5