the average weight for a male hippo is about 3,310 pound. The average weight for a female adult hippo is about w pounds less. Write an expression to find an adult female hippos average weight
The Correct Answer and Explanation is:
To write an expression for the average weight of an adult female hippopotamus, we can use the following information:
- The average weight of a male hippopotamus is 3,310 pounds.
- The average weight of a female hippopotamus is w pounds less than the male.
Step-by-Step Solution:
- Define Variables:
- Let the weight of an adult female hippopotamus be represented as wfw_f.
- The average weight of a male hippopotamus is given as 3,310 pounds.
- The problem states that the female hippopotamus weighs w pounds less than the male. This suggests a subtraction of w from the male’s weight.
- Write the Expression:
Since the female hippopotamus weighs ww pounds less than the male, we can subtract ww from the male’s weight to find the female’s average weight. This gives us the expression: wf=3,310−ww_f = 3,310 – w Here, wfw_f represents the average weight of an adult female hippopotamus, and ww represents the number of pounds less that the female weighs compared to the male.
Interpretation:
- The expression wf=3,310−ww_f = 3,310 – w tells us that to calculate the average weight of an adult female hippo, we take the average weight of the male hippo (3,310 pounds) and subtract the value of ww, which represents how many pounds less the female weighs.
- For example, if we know that an adult female hippo weighs 200 pounds less than a male, we substitute w=200w = 200 into the expression, resulting in: wf=3,310−200=3,110 poundsw_f = 3,310 – 200 = 3,110 \text{ pounds} This would mean the average weight of the female hippopotamus is 3,110 pounds in this example.
Conclusion:
The expression wf=3,310−ww_f = 3,310 – w effectively allows us to calculate the average weight of an adult female hippopotamus by subtracting ww pounds from the male’s weight. The variable ww represents the difference in weight between the male and female hippos.