A Store Manager Wants to Know the Demand Y for an Energy

question 8

Multiple Choice

A store manager wants to know the demand y for an energy bar as a function of price x. The daily sales for three different prices of the energy bar are shown in the table. Price, x
$ 1.02
$ 1.23
$ 1.54
Demand, y
410
365
280
(i) Use the regression capabilities of a graphing utility to find the least squares regression line for the data.
(ii) Use the model to estimate the demand when the price is $1.38.

• A)(i) \(y = - 24.314583 x + 382.38409\) ; (ii)348.708392
• B)(i) \(y = - 24.314583 x + 382.38409\) ; (ii)-416.059787
• C)(i) \(y = 382.38409 x - 24.314583\) ; (ii)505.287381
• D)(i) \(y = - 24.314583 x - 382.38409\) ; (ii)-416.059787
• E)none of the above

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Definitions:

Maltose

A disaccharide sugar formed from two glucose molecules, involved in the breakdown of starch during digestion.

Glucose

A basic form of sugar that serves as a crucial source of energy for living beings and is found in numerous carbohydrates.

Fructose

A simple sugar found in honey and fruit that serves as a major carbohydrate source in the human diet.

Phosphate Group

A functional group consisting of a phosphorus atom covalently bonded to four oxygen atoms, commonly involved in energy transfer within cells.