Find the approximate cost of renting a truck and moving household goods cross country. The distance is 900 miles and the truck rental fee is $837. The truck gets 6 miles per gallon. And a gallon costs an average of 1.40 per gallon. The mover needs a hand cart at $5, two dozen furniture pads at $2 per dozen, 2 wardrobe boxes at $7.50 each, and an auto towbar at $69.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

2

step-by-step explanation:

-2x-4

step-by-step explanation: