An electrician charges $50 to make a house call and $40 for each hour worked. if you have $200, can you afford a repair that takes 4 hours to complete?

Charge(x) = Electrician's charge as a function of the # of hours worked.

Here,

Charge(x) = $50 + ($40/hour)x

Set this expression = to $200 and solve for x, the number of hours for which the electrician must be paid:

$50 + ($40/hour)x = $200

To solve for x, subtract $50 from both sides: ($40/hr)x = $150.

Then x = 3.75.

You cannot afford to have this 4-hour job done, because your $200 will cover only the house call and the first 3.75 hours.

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b