A small gardening business has the following details: - The cost to plant each flower is $2.00 - The fixed costs are $6.00 - The total expense function is given by E(q)=6+2q , where q is the quantity of flowers planted and E(q) is the total expense. Given the expense function E(q)=6+2q , which table correctly represents the relationship between the quantity q and the total expenses E(q) ?
Answer
A
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, '6' Row 3: Column 1, '2'; Column 2, '9' Row 4: Column 1, '4'; Column 2, '12'
B
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, '6' Row 3: Column 1, '2'; Column 2, '12' Row 4: Column 1, '4'; Column 2, '18'
C
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, '6' Row 3: Column 1, '2'; Column 2, '8' Row 4: Column 1, '4'; Column 2, '10'
D
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, '6' Row 3: Column 1, '2'; Column 2, '10' Row 4: Column 1, '4'; Column 2, '14'
Explanation
Use the expense function E(q) = 6 + 2q. For q = 0, the expense is 6; for q = 2, it is 6 + 2(2) = 10; and for q = 4, it is 6 + 2(4) = 14. These values match the table with expenses 6, 10, and 14, so the correct choice is D.
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