Question

type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s).
john hosts an art workshop on the weekends. he has an average of 14 students in each session and charges a fee of $12 per session. he estimates that for every $2 increase in the fee, the average number of students reduces by 1.

complete the equation that models this scenario, where c(x) is the revenue generated and x is the number of $2 fee increases.
$c(x) = square x^2 + square x + square$

Explanation:

Step1: Define fee per student

Fee = $12 + 2x$

Step2: Define number of students

Students = $14 - x$

Step3: Calculate revenue

$c(x)=(12+2x)(14-x)$

Step4: Expand the product

$c(x)=12×14 -12x +2x×14 -2x^2 = 168 + (-12+28)x -2x^2 = -2x^2 +16x +168$

Answer:

-2, 16, 168