how would i write a equation if the company charges $38 for a house call and $26 per hour. the cost of a repair is a function of the time spent by the repair person.
How about
f(t) = 38 + 26t
where t is the number of hours spent in repairs.
To write an equation for the cost of a repair as a function of the time spent by the repair person, we need to consider two components: the fixed cost of the house call and the variable cost based on the time spent.
Let's say the time spent by the repair person is represented by the variable 't'.
The fixed cost of the house call is $38, which remains the same regardless of the time spent.
The variable cost is $26 per hour, meaning for every hour spent on the repair, the cost increases by $26.
To calculate the variable cost component, we multiply the time spent by the repair person, 't', by $26.
Therefore, the equation for the cost of a repair as a function of the time spent is:
Cost(t) = $38 + $26t
In this equation, 'Cost(t)' represents the total cost of the repair as a function of 't', the time spent by the repair person.
By plugging in different values for 't', you can find the cost of the repair for various time lengths.