Question

Four plumbers each charge a flat fee plus an hourly rate for repair visits. The table shows their total costs for repairs that required various amounts of time. Total Cost of Repairs Hours needed for repair Cost for plumber A Cost for plumber B Cost for plumber C Cost for plumber D 1 $35 $55 $50 $50 2 $65 $75 $75 $60 3 $95 $95 $100 $70 Which plumber charges the greatest hourly rate? plumber A plumber B plumber C plumber D

Answer 1

Answer:

A

Step-by-step explanation:

The hourly rate that the plumbers charge is 30

Answer 2

Answer:

Plumber A

Step-by-step explanation:

Given the following :

Hours ___repair cost

________A ____B____C_____D

1 ______$35___55___50____50

2 _____ $65__ $75__ $75__ $60

3 _____ $95__ $95 _$100 ___$70

Charge plan:

Flat fee(x) + hourly rate(y)

For 1 hour:

Plumber A:

x + y = 35 ; x = 35 - y

x + 2y = 65 ;

35 - y + 2y = 65

y = 65 - 35 = $30 hourly

Plumber B:

x + y = 55 ; x = 55 - y

x + 2y = 75 ;

55 - y + 2y = 65

y = 65 - 55 = $10 hourly

Plumber C:

x + y = 50 ; x = 50 - y

x + 2y = 75 ;

50 - y + 2y = 65

y = 65 - 50 = $15 hourly

Plumber D:

x + y = 50 ; x = 50 - y

x + 2y = 60 ;

50 - y + 2y = 60

y = 65 - 50 = 10 hourly

Hence, Plumber A charges the highest hourly rate at $30 per hour