Question

Wayne charges the following for repairing washing machines:£28 call out charge +£16 for each half-hour he spends on the repair what will the total cost be for a repair which takes one and a half hours?

Answer 1

The cost for a repair that takes one and a half hour is £52

Explanation:

We can create a function that relates the value Wayne charges in function of the time it takes for him to fix the washing machine in hours. Since there's a fixed cost of 28 and another charge that is variable of 16 per half hour, then the function below represents the cost of the repair:

`cost(t) = 28 + 32*t`

In this case the variable value "16" was multiplied by two, because it's easier when the time is given in hours and every hour contains two half-hours. If the repair took 1.5 h, then:

`cost(1.5) = 28 + 16*1.5\\cost(1.5) = 52\\`

The cost for a repair that takes one and a half hour is £52