Question

an electrician charges $70 per hour on top of a set fee of $100 for every house call. make a table of values and then write an equation for c, in terms of t, representing the total cost of the electricians services if the electrician spends t hours at the house working.

number of hours working | total cost for electrician services
0
1
2
3

Explanation:

Step1: Calculate cost for 0 hours

When \( t = 0 \), the cost is just the set fee. So \( C = 100 + 70\times0 = 100 \).

Step2: Calculate cost for 1 hour

When \( t = 1 \), \( C = 100 + 70\times1 = 170 \).

Step3: Calculate cost for 2 hours

When \( t = 2 \), \( C = 100 + 70\times2 = 240 \).

Step4: Calculate cost for 3 hours

When \( t = 3 \), \( C = 100 + 70\times3 = 310 \).

Step5: Write the equation

The total cost \( C \) is the set fee plus the hourly rate times hours \( t \), so \( C = 100 + 70t \).

First, fill the table:

Number of Hours Working	Total Cost for Electrician Services
1	170
2	240
3	310

Answer:

The table is filled as above, and the equation is \( C = 100 + 70t \).