Question

an air - conditioning company set a cost for a house call and charges per hour for repair. the company uses the function (f(t)=105t + 98) as the total cost. the number of hours worked is (t) and the total cost is (f(t)). which statement represents the meaning of each part of the function? which part of the function is impacted by an increase of $12 for the set cost? function meaning: the cost for the house call is 98 dollars and the cost per hour is 105 dollars. part impacted: the cost per hour increases. function meaning: the cost for the house call is 98 dollars and the cost per hour is 105 dollars. part impacted: the cost for the house call increases. function meaning: the cost for the house call is 105 dollars and the cost per hour is 98 dollars. part impacted: the cost for the house call increases. function meaning: the cost for the house call is 105 dollars and the cost per hour is 98 dollars. part impacted: the cost per hour increases.

Explanation:

Step1: Analyze the linear - cost function

The cost function is $f(t)=105t + 98$, which is in the form of a linear function $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. In the context of cost, $105$ is the cost per hour (rate of change) and $98$ is the fixed cost (house - call cost).

Step2: Determine the impact of an increase in set - cost

The set - cost is the fixed cost. In the function $f(t)=105t + 98$, the fixed cost is $98$. If the set - cost increases by $12$, the new fixed cost will be $98 + 12$. The part of the function that represents the fixed cost (house - call cost) is the constant term. So the cost for the house call increases.

Answer:

Function Meaning: The cost for the house call is 98 dollars and the cost per hour is 105 dollars.
Part Impacted: The cost for the house call increases.