Solve the Problem A) (A) $y = 5.4215 x ^ { 2 } - 7.1512 x + 15.768$

question 72

Multiple Choice

Solve the problem.
-The table shows the amount of yeast cells (measured as biomass) growing over a 7 -hour period in a nutrient. (a) Find a regression quadratic for the data. (b) Use the regression quadratic to predict the biomass of yeast in the nutrient after 10 hours.
$\begin{array}{l|cccccccc}\text { Hour } & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\\hline \text { Biomass } & 7.4 & 16.7 & 31.1 & 49.2 & 76.8 & 122.0 & 179.5 & 263.3\end{array}$

• A) (a) \(y = 5.4215 x ^ { 2 } - 7.1512 x + 15.768\)
• (b) \(486.406\)
• B) (a) \(y = 5.7661 x ^ { 2 } - 8.1557 x + 13.284\)
• (b) \(508.337\)
• C) (a) \(y = 4.5432 x ^ { 2 } + 6.8417 x + 19.925\)
• (b) \(542.662\)
• D) (a) \(y = 5.9631 x ^ { 2 } - 7.1512 x + 13.925\)
• (b) \(538.723\)

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Definitions:

Depreciation

The systematic periodic transfer of the cost of a fixed asset to an expense account during its expected useful life.

Administrative Expense

Expenses related to the general operations of a business, such as salaries of non-sales personnel, rent, utilities, and office supplies.

Period Cost

Costs that are not directly tied to the production process and are expensed in the period in which they are incurred, such as selling, general, and administrative expenses.

Factory Equipment

The machinery and tools used in the process of manufacturing goods, often considered as fixed assets in accounting.