A baker requires 21 ounces of flour to make a loaf of bread. Given that the amount of flour the baker needs, w ounces, is directly proportional to the number of loaves that he bakes, and. identify the constant of proportionality and write a direct proportion equation.

Constant of proportionality, k = 21

Step-by-step explanation:

We are given the following in the question:

The amount of flour required is directly proportional to the number loaf of breads made.

Let w be the weight of flour and n be the number of loaf of breads.

Thus, we can write,

where k is the constant of proportionality.

21 ounces of flour is required to make 1 loaf of bread.

Putting these values, we get,

Thus, the equation giving relation between weight of bread and number of loafs of bread is

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intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this