Question

The amount an appliance repairman charges for each job is represented by the function t = 50h + 35, where h represents the number of hours he spent on the job and t represents the total amount he charges in dollars for the job. The repairman plans to change the amount he charges for each job. The amount he plans to charge is represented by the function t = 50h + 45. What will be the effect of this change on the amount he charges for each job?

a) The amount will decrease by $10
b) The amount will increase by $10
c) The amount will remain the same
d) The effect cannot be determined from the information provided

Answer 1

The repairman will increase the amount he charges for each job by $10.

Step-by-step explanation:

The given functions are:

t = 50h + 35 and t = 50h + 45

These functions represent the amount the repairman charges for each job based on the number of hours spent on the job. In the first function, the repairman charges $35 in addition to $50 per hour of work. In the second function, the repairman charges $45 in addition to $50 per hour of work.

The difference between the two functions is the additional amount charged, which is $10. Therefore, the effect of this change is that the repairman will increase the amount he charges for each job by $10.