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(a) let x be the unknown number of pounds. using the values below, crea…

Question

(a) let x be the unknown number of pounds. using the values below, create a proportion that can be used to find x. use the conversion 1 kilogram = 2.2 pounds. values: x, 1, 2.2, 136 (b) use the proportion from part (a) to find the weight of the object in pounds. do not round any computations. pounds

Explanation:

Step1: Set up the proportion

We relate kilograms to pounds, so:
$$\frac{x}{136} = \frac{2.2}{1}$$
(Alternatively, $\frac{1}{2.2} = \frac{136}{x}$ is also valid, but the above aligns with the value placement.)

Step2: Solve for x

Cross-multiply to isolate x:
$$x = 136 \times 2.2$$

Answer:

Part (a) Proportion:

$\boldsymbol{\frac{x}{136} = \frac{2.2}{1}}$ (or $\frac{1}{2.2} = \frac{136}{x}$)

Part (b) Weight in pounds:

$\boldsymbol{299.2}$ pounds