Question

the amount of energy the producers in this energy pyramid provide the primary consumers is 54,000 joules. from this amount, 540 joules are provided to the tertiary consumers. based on this model, how much of the energy was provided to secondary consumers?
○ 540 j
○ 54 j
○ 50,460 j
○ 5,400 j

Explanation:

Step1: Recall energy pyramid rule

In an energy pyramid, energy transfer between trophic levels is typically about 10% (1/10) of the previous level's energy. So, if \( E_{producers \to primary} = 54000 \, J \), then primary to secondary is 10% of that, and secondary to tertiary is 10% of secondary's energy. Let \( E_{secondary} \) be energy to secondary consumers, \( E_{tertiary} = 540 \, J \). Since \( E_{tertiary} = 0.1 \times E_{secondary} \), we can solve for \( E_{secondary} \) by rearranging: \( E_{secondary} = \frac{E_{tertiary}}{0.1} \).

Step2: Calculate secondary energy

Substitute \( E_{tertiary} = 540 \, J \) into the formula: \( E_{secondary} = \frac{540}{0.1} = 5400 \, J \). Alternatively, check from producers: Producers to primary: 54000 J. Primary to secondary: \( 54000 \times 0.1 = 5400 \, J \). Secondary to tertiary: \( 5400 \times 0.1 = 540 \, J \), which matches the given tertiary energy. So the energy to secondary consumers is 5400 J.

Answer:

5,400 J (corresponding to the option "5,400 J")