the number of county fair tickets sold during the first year was 12,740. the ticket sales increased at a rate of 12% each year. write an equation representing the number of tickets sold, $s(t)$, for any given year, $t$.

$s(t) = 12,740(1.88)^t$
$s(t) = 12,740(0.88)^t$
$s(t) = 12,740(1.12)^t$
$s(t) = 12,740(0.12)^t$

Question

the number of county fair tickets sold during the first year was 12,740. the ticket sales increased at a rate of 12% each year. write an equation representing the number of tickets sold, \$s(t)\$, for any given year, \$t\$.

\$s(t) = 12,740(1.88)^t\$
\$s(t) = 12,740(0.88)^t\$
\$s(t) = 12,740(1.12)^t\$
\$s(t) = 12,740(0.12)^t\$

$s(t) = 12,740(1.88)^t$
$s(t) = 12,740(0.88)^t$
$s(t) = 12,740(1.12)^t$
$s(t) = 12,740(0.12)^t$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Exponential Growth Models" ], "new_concepts": [], "current_concepts": [ "Exponential Growth Models", "Percent Rate of Change" ] } ## Identify the initial value and growth rate $$ \begin{aligned} a &= 12,740 \ r &= 12\% = 0.12 \end{aligned} $$ ## Determine the growth factor $$ b = 1 + r = 1 + 0.12 = 1.12 $$ ## Formulate the exponential equation $$ s(t) = a \cdot b^t = 12,740(1.12)^t $$

(A) $s(t) = 12,740(1.88)^t$

(B) $s(t) = 12,740(0.88)^t$

(C) $s(t) = 12,740(1.12)^t$

(D) $s(t) = 12,740(0.12)^t$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Exponential Growth Models" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the initial value and growth rate

Determine the growth factor

Formulate the exponential equation

Answer: