the number of protozoa in a biology laboratory experiment is given by the polynomial function $p(t) = 0.03t^4 + 0.3t^3 + 7t^2$, where $p$ is the number of protozoa after $t$ hours.

step 2 of 2: how many protozoa are present after 2 days? round your answer to the nearest whole number.

Question

the number of protozoa in a biology laboratory experiment is given by the polynomial function $p(t) = 0.03t^4 + 0.3t^3 + 7t^2$, where $p$ is the number of protozoa after $t$ hours.

step 2 of 2: how many protozoa are present after 2 days? round your answer to the nearest whole number.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Function Evaluation", "Polynomial Applications" ], "new_concepts": [], "current_concepts": [ "Function Evaluation", "Polynomial Applications" ] } ## Convert days to hours $$ t = 2 \text{ days} \times 24 \text{ hours/day} = 48 \text{ hours} $$ ## Evaluate the polynomial function $$ \begin{aligned} p(48) &= 0.03(48)^4 + 0.3(48)^3 + 7(48)^2 \ &= 0.03(5,308,416) + 0.3(110,592) + 7(2,304) \ &= 159,252.48 + 33,177.6 + 16,128 \ &= 208,558.08 \end{aligned} $$ ## Round to the nearest whole number $$ p(48) \approx 208,558 $$ How many protozoa are present after 2 days? Round your answer to the nearest whole number. 208,558 after 2 days (48 hours) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Applications" ] }

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Question

Explanation:

Convert days to hours

Evaluate the polynomial function

Round to the nearest whole number

Answer: