Answer:
42
Explanation:
Since the relationship is directly proportional, we can use the concept of proportionality to find the amount of dough Jennifer can prepare if she works for 6 hours.
Let D₁ be the amount of dough Jennifer can prepare, and T₁ be the corresponding time worked. Similarly, let D₂ be the new amount of dough when Jennifer works for 6 hours (T₂).
The proportionality relationship is given by:
[D₁ / T₁] = [D₂ / T₂]
We know that Jennifer prepared 28 kilograms of dough after working 4 hours (D₁ = 28 kg, T₁ = 4 hours).
Now, we want to find D₂ when T₂ = 6 hours.
[28 / 4] = [D₂ / 6]
Now, cross-multiply:
28 × 6 = 4 × D₂
D₂ = [28 × 6] / 4
D₂ = 42
Therefore, if Jennifer works for 6 hours, she can prepare 42 kilograms of dough. This is based on the assumption that the relationship between the amount of dough and the time worked is directly proportional.