Question

$30 per hour it cut off pls help i give brainlest if it’s correct

Answer 1

Answer:

t  = 4 h

Step-by-step explanation:

Painter A   initial fee 40 $  and each hour charge 45 $

Painter B   initial fee 100 $ and each hour charge  30 $

The equations for painters are straight lines.

The initial fee is the intercept of the line with the y-axis ( painters receive 40 and 100 $ respectively and they have done nothing.

The equation for a straight line is:

y = m*x + b       where m is the slope and b the intercept with the y-axis

Then

Painter A     when x = 0  y = b = 40

And  each hour of work cost 45 $   then f  x = t  in hours

The equation for Painter A is   y  = 45*t  + 40

Similarly, the equation for Painter B is

y  = 30*t + 100

We have a two equations system, the solution will indicate when the two painters will charge the same amount of money

y  =  45*t  + 40      (1)

y  =  30*t  + 100     (2)

Equation 1 - equation 2

0  =  15*t  - 60

15*t  =  60

t  = 60/15

t  = 4 h