The amount of paint needed to cover the walls of a room varies jointly as the perimeter of the room and the height of the wall. If a room with a perimeter of 35 feet and 10 dash foot walls requires 3.5 quarts of paint, find the amount of paint needed to cover the walls of a room with a perimeter of 55 feet and 8-foot walls.

Solution:

Given that,

The amount of paint needed to cover the walls of a room varies jointly as the perimeter of the room and the height of the wall

The formula for joint variation is:

Where,

z is the amount of paint needed

x is the perimter of room

y is the height of room

Room with a perimeter of 35 feet and 10 foot high walls requires 3.5 quarts of paint

Therefore,

find the amount of paint needed to cover the walls of a room with a perimeter of 55 feet and 8-foot walls

Substitute k = 0.01, x = 55 and y = 8 in joint variation formula

Thus, 4.4 quarts of paint needed to cover the walls of a room with a perimeter of 55 feet and 8-foot walls

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32