Modeling for Business: Part One — Test

Question 16 • Financial Math

Given the expense function E⁡(q)=8+2⁢q , which table correctly represents the relationship between the quantity q and the total expenses E⁡(q) ?

Answer

Table with 2 columns and 4 rows.Row 1: Column 1, 'Quantity q'; Column 2, 'Expense cap e times q' Row 2: Column 1, '0'; Column 2, '8' Row 3: Column 1, '1'; Column 2, '9' Row 4: Column 1, '2'; Column 2, '10'

Table with 2 columns and 4 rows.Row 1: Column 1, 'Quantity q'; Column 2, 'Expense cap e times q' Row 2: Column 1, '0'; Column 2, '8' Row 3: Column 1, '1'; Column 2, '12' Row 4: Column 1, '2'; Column 2, '16'

Table with 2 columns and 4 rows.Row 1: Column 1, 'Quantity q'; Column 2, 'Expense cap e times q' Row 2: Column 1, '0'; Column 2, '8' Row 3: Column 1, '1'; Column 2, '11' Row 4: Column 1, '2'; Column 2, '14'

Table with 2 columns and 4 rows.Row 1: Column 1, 'Quantity q'; Column 2, 'Expense cap e times q' Row 2: Column 1, '0'; Column 2, '8' Row 3: Column 1, '1'; Column 2, '10' Row 4: Column 1, '2'; Column 2, '12'

Explanation

Substitute each quantity into E(q) = 8 + 2q. When q = 0, E(0) = 8; when q = 1, E(1) = 10; and when q = 2, E(2) = 12. These values match the table with expenses 8, 10, and 12, so choice A is correct.

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