On two separate occasions, Mr. Johnson needed some electrical work done on his house. He called an electrician from Electrical Outlet in town. The electrician worked 2.5 hours and charged $180 for the first visit. The second time he worked 4 hours and charged $243. Let be the number of hours the electrician works in a single visit, and let be the total amount, in dollars, that the electrician charged for the visit. A. Create the equation that relates the total cost to the time worked. [4 pts] Note: This will be a linear relationship, so start by finding the slope of the line based on the given information. Express the final equation in = + form.

y = 42x + 75

Step-by-step explanation:

Using the equation of a line in the form

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁) = m where m is the slope of the line

Let x be the number of hours the electrician works in a single visit, and let y be the total amount, in dollars, that the electrician charged for the visit.

Since the electrician worked 2.5 hours and charged $180 for the first visit. The second time he worked 4 hours and charged $243. where x₁ = 2.5 hours, y₁ = $ 180, x₂ = 4 hours and y₂ = $ 243

We find the slope of the line, m

m = (243 - 180)/(4 - 2.5) = (243 - 180)/(4 - 2.5) = 63/1.5 = 42

Since m = (y - y₁)/(x - x₁) ,

42 = (y - 180)/(x - 2.5)

cross-multiplying, we have

42(x - 2.5) = (y - 180)

expanding the bracket, we have

42x - 105 = y - 180

adding 180 to both sides, we have

42x - 105 + 180 = y - 180 + 180

42x + 75 = y

y = 42x + 75

over the argument its not good to fight.

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|