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 1 of 2: determine the number of protozoa after 4 hours. 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 1 of 2: determine the number of protozoa after 4 hours. 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" ] } ## Substitute the given value into the function $$ \begin{aligned} t &= 4 \ p(t) &= 0.03t^4 + 0.3t^3 + 7t^2 \ p(4) &= 0.03(4)^4 + 0.3(4)^3 + 7(4)^2 \end{aligned} $$ ## Calculate the numerical value $$ \begin{aligned} p(4) &= 0.03(256) + 0.3(64) + 7(16) \ p(4) &= 7.68 + 19.2 + 112 \ p(4) &= 138.88 \end{aligned} $$ ## Round to the nearest whole number $$ \begin{aligned} p(4) &\approx 139 \end{aligned} $$ Determine the number of protozoa after 4 hours. Round your answer to the nearest whole number. 139 protozoa after 4 hours { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Function Evaluation" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Substitute the given value into the function

Calculate the numerical value

Round to the nearest whole number

Answer: