F(6) = 3-2 = 1
f(13) = 4-2 = 2
Rate of change:
(2-1)/(13-6) = 1/7
Tom--------------
>10 sq ft per minute
Tim-------------------
>3.5*10=35 sq ft per minute
Both painters (10+35)=45
sq ft per minute
let's assume a cubic unit crate----------> V1=1*1*1=1 feet3
<span>the total surface of the cube is S1=6*(1*1)=6 </span>sq
ft
if the volume of the cube increases twice
V2=2 feet3 ------------------- > 2=x*x*x------------- >x=2^(1/3)
And the S2=6*(2^(1/3)*<span> 2</span>^(1/3)=9.5244 sq ft
V2/V1=9.5244/6=1.5874
Therefore
If Tim and Tom-----------------------
> take 1 day----------- > to paint a crate V1
For the crate V2------------- > take 1.5874 days
assuming an 8-hour work day
0.5874*8=4.70 hr-------------- > 4 h 42 min
The answer is 1 day 4h 42 min
5x + -4y = 13
Solving
-5x + -4y = 13
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4y' to each side of the equation.
-5x + -4y + 4y = 13 + 4y
Combine like terms: -4y + 4y = 0
-5x + 0 = 13 + 4y
-5x = 13 + 4y
Divide each side by '-5'.
x = -2.6 + -0.8y
Simplifying
x = -2.6 + -0.8y
Simplifying
3x + -4y + -11 = 0
Reorder the terms:
-11 + 3x + -4y = 0
Solving
-11 + 3x + -4y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '11' to each side of the equation.
-11 + 3x + 11 + -4y = 0 + 11
Reorder the terms:
-11 + 11 + 3x + -4y = 0 + 11
Combine like terms: -11 + 11 = 0
0 + 3x + -4y = 0 + 11
3x + -4y = 0 + 11Combine like terms: 0 + 11 = 11
3x + -4y = 11
Add '4y' to each side of the equation.
3x + -4y + 4y = 11 + 4y
Combine like terms: -4y + 4y = 0
3x + 0 = 11 + 4y
3x = 11 + 4y
Divide each side by '3'.
x = 3.666666667 + 1.333333333y
Simplifying
x = 3.666666667 + 1.333333333y
1.539 divided by 10 which equal to 0.1539