Question

An electrician charges a base fee of $75 plus $50 for each hour of work. The minimum the electrician charges is $175. Create a table that shows the amount the electrician charges for 1, 2, 3, and 4 hours of work

Answer 1

Number of hours (x) 1 2 3 4

Total charges in dollars (C(x)) 175 175 225 275

Explanation:

Given,

Base fee, charged by electrician = $ 75,

Also, the additional fee for one hour = $50,

So, the additional fee for x hours = 50x dollars,

Thus, the total fee for x hours = 75 + 50x

Let C(x) represents the total cost ( in dollars ) after x hours,

`\implies C(x)=75+50x`

Which is the function that represents the given situation,

Hence, with help of this function we can make the table for the different number of hours that is shown below,

Number of hours (x) 1 2 3 4

Total charges in dollars (C(x)) 125 175 225 275

Since, the minimum cost is $ 175,

Thus, the cost for 1 hour must be $ 175,

Hence, the table would be,

Number of hours (x) 1 2 3 4

Total charges in dollars (C(x)) 175 175 225 275

Answer 2

Below is the table:

x y
1 175
2 175
3 225
4 275

Domain: {1, 2, 3, 4}; hours of work
Range: {175, 225, 275}; amount charged
This relation is a function. Each domain value is paired with exactly one range value.