There is a mound of g pounds of gravel in a quarry. Throughout the day, 400 pounds of gravel are added to the mound. Two orders
1 answer:
Question is Incomplete; Complete question is given below;
A pile of g pounds of gravel exists in a quarry. During the day, 400 pounds of gravel is added to the pile. Two orders of 900 pounds are removed, resulting in the mound holding 1,500 pounds of gravel by day's end. Formulate the equation that accurately illustrates this scenario.
Answer:
The equation that best represents the situation is .
Step-by-step explanation:
Given:
Initial gravel amount = ''.
Currently Given:
Throughout the day, 400 pounds of gravel is added to the pile.
Thus we can conclude;
Gravel amount after addition =
Also given:
Two orders of 900 pounds are sold and the gravel is taken from the pile.
Hence, two orders of 900 pounds =
This leads us to state;
Gravel amount post-removal =
Now Given:
Remaining gravel at the end of day = 1300 pounds.
Therefore, we derive that;
Consequently, the equation that best describes the scenario is .
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Answer:
Yes, the cost in dollars and the quantity of yogurt
are indeed proportional.
The relationship can be expressed as:
Step-by-step explanation:
1. If varies directly with
, it can be represented as:
Here, represents the constant of proportionality.
2. We'll calculate the proportionality constant. Given that and
, we have:
3. Thus, the equation becomes:
4. Now, we need to verify proportionality. Substituting , which is the quantity of yogurt purchased by Jonah, we should arrive at $0.48:
5. They are indeed directly proportional.