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KIM [24]
3 years ago
10

If one kilogram equals 2.2 pounds how many kilograms equal 112 pounds

Mathematics
2 answers:
zysi [14]3 years ago
8 0
About 50.8 kilograms is equal to 112 pounds.
ira [324]3 years ago
3 0

Answer & Step-by-step explanation:

Assuming that there is a constant rate of change, we can use the equation:

y=kx

k is the constant rate of change. Set up an equation in which the pounds are determined by the rate of change between kilograms and pounds:

1=k(2.2)

Isolate the variable k:

\frac{1}{2.2}=\frac{k(2.2)}{2.2}\\\\\frac{1}{2.2}=k

Set up another equation like so:

\frac{y}{x}=\frac{y}{x}

Insert values:

\frac{1}{2.2}=\frac{y}{112}

Solve for y. Cross multiply:

1(112)=2.2y\\\\112=2.2y

Isolate the variable. Divide both sides by 2.2:

\frac{112}{2.2}=\frac{2.2y}{2.2} \\\\ y=50.9090...

So, there are about 50.9 kilograms in 112 pounds.

:Done

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D

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A) because when they are equal it means that their y has the same value, which means their intersection point.


B) You should take all integers from (-2, 2) which are: -2, -1, 0, 1, 2 and put them one by one in the example:
x = -2    
    y1 = 4^-(-2) = 4^2 = 16 
    y2 = 2^(-(-2) + 1) = 2^(2+1) = 2^3 = 8
y1 ≠ y2      =>      so x=-2 isn't our answer
-------------------------------------------------------
x = -1
    y1 = 4^-(-1) = 4^1 = 4 
    y2 = 2^(-(-1) + 1) = 2^(1+1) = 2^2 = 4
y1 = y2      =>       so our answer will be x = -1
-------------------------------------------------------
x = 0
    y1 = 4^-(0) = 4^0 = 1 
    y2 = 2^(-(0) + 1) = 2^(0+1) = 2^1 = 2
y1 ≠ y2      =>      so x=0 isn't our answer
--------------------------------------------------------------
x = 1 
    y1 = 4^-(1) = 4^(-1) = 1/4 
    y2 = 2^(-(1) + 1) = 2^(-1+1) = 2^0 = 1
y1 ≠ y2      =>      so x=1 isn't our answer
--------------------------------------------------------------
x = 2 
    y1 = 4^-(2) = 4^(-2) = 1/16 
    y2 = 2^(-(2) + 1) = 2^(-2+1) = 2^(-1) = 1/2
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Which means that our final answer is: x=-1


C) You should draw both graphics, and their intersection point (x) will be the answer.


I hope it helped.


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