1) Two Electricians' charges more per hour
2) Mr Hall should choose ABC electric to save money
Step-by-step explanation:ABC Electric's charges :
y = 50x + 75
Two Electricians' charges is shown in the table
To determine which company charges more per hour, let's compare their charages
1) y = 50x + 75
when x = 1 hour
y = 50(1) + 75 = 50 + 75
y = $125
From the table, when x = 1
y = $130
$130 > $125
The charge of Two Electricians' for 1 hour is more than that of ABC Electric's charges
Hence, Two Electricians charges more per hour
2) For 5hours, x = 5
inserting the value for x in ABC electric charges:
y = 50(5) + 75
y = 250 + 75
y = $325
There is no value for x = 5 on the table given
we need to find an equation for it
Equation of line: y = mx + c
Rate of change = slope = change in y/change in x
Using points: (0, 70) and (1, 130)
Rate of change = (130-70)/(1-0) = 60/1
Rate of change = slope = 60
The y-intecept is when x = 0
y-intercept = c = 70
equation for Two Electricians' charges :
y = 60x + 70
when x = 5
y = 60(5) + 70
y = 300 70
y = $370
$370 > $325
ABC electric cost less for 5hrs
Mr Hall should choose ABC electric to save money