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3 years ago

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

Mathematics

1 answer:

tankabanditka [31]3 years ago

7 0

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

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$\pi$

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