To determine which table best represents the relationship between \( f \) (the amount made from the delivery fee) and \( d \) (the number of deliveries made in a day) with the delivery fee of $4.03, we can analyze each option:
The formula to calculate the amount made from the delivery fees is:
\[ f = 4.03 \cdot d \]
- For \( d = 1 \), \( f = 4.03 \cdot 1 = 4.03 \)
- For \( d = 2 \), \( f = 4.03 \cdot 2 = 8.06 \)
- For \( d = 3 \), \( f = 4.03 \cdot 3 = 12.09 \) (not on the list, but we won't use this number)
- For \( d = 5 \), \( f = 4.03 \cdot 5 = 20.15 \)
- For \( d = 6 \), \( f = 4.03 \cdot 6 = 24.18 \)
- For \( d = 7 \), \( f = 4.03 \cdot 7 = 28.21 \)
Let’s analyze the tables:
A.
- \( d = 5, f = 20.15 \) (correct)
- \( d = 6, f = 24.18 \) (correct)
- \( d = 7, f = 28.21 \) (correct)
This table is consistent with our calculations.
B.
- \( f = 4.03, d = 1 \) (correct)
- \( f = 8.06, d = 2 \) (correct)
- \( f = 11.06, d = 3 \) (incorrect, should be 12.09)
This table is not correct.
C.
- \( d = 1, f = 4.03 \) (correct)
- \( d = 2, f = 8.06 \) (correct)
- \( d = 3, f = 11.06 \) (incorrect, should be 12.09)
This table is not correct.
D.
- \( f = 20.15, d = 5 \) (correct)
- \( f = 24.18, d = 6 \) (correct)
- \( f = 28.21, d = 7 \) (correct)
This table is consistent with our calculations but is not written in the same format as the others.
Considering the calculations, Table A best represents the relationship between \( f \) and \( d \) according to the given delivery fee of $4.03.
So the answer is A.
7 answers