Tina's Treats charges a $4.03 fee for each delivery. 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?

A.
d f
5 $20.15
6 $24.18
7 $28.21

B.
d f
$4.03 1
$8.06 2
$11.06 3

C.
d f
1 $4.03
2 $8.06
3 $11.06

D.
d f
$20.15 5
$24.18 6
$28.21 7

1 answer

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.