The table below shows the profit based on price for an object sold by a company. which statements are true? check all that apply. a) the data is best represented by an exponential model. b)the data is best represented by a quadratic model. c)if the price is $5 per unit, the expected profit is approximately $4,686. d)if the price is $80 per unit, the expected profit is negative. e) as the price per unit increases, the profit increases indefinitely.

correct choices are b and c.

step-by-step explanation:

plot all points and determine that the data   is best represented by a quadratic model (see attached diagram). thus, option a is false and option b is true.

the quadratic function that represents the situation is

when x=5, then

so option c is true.

according to the attached diagram at x=80, the value of y is positive, then option d is false.

as the price per unit increases, the profit increases by known quadratic function, thus option e is false.

boxplot e is the answer

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: