Answer:
(d) and (e) are true
Step-by-step explanation:
Given
[tex]Food = 23\ oz[/tex]
See attachment for proper presentation of question
Required
Select all true statements
For any option to be true, it must satisfy the following condition.
[tex]Days * Food = 23[/tex]
Option (a):
[tex]Days = 6[/tex]
[tex]Food = 4\frac{1}{6}[/tex] per day
So, we have:
[tex]Days * Food = 6 * 4\frac{1}{6}[/tex]
[tex]Days * Food = 6 * \frac{25}{6}[/tex]
[tex]Days * Food = 25[/tex]
This is not true because: [tex]25 \ne 23[/tex]
Option (b):
[tex]Days = 10[/tex]
[tex]Food = 2\frac{2}{23}[/tex] per day
So, we have:
[tex]Days * Food = 10 * 2\frac{2}{23}[/tex]
[tex]Days * Food = 10 * \frac{48}{23}[/tex]
[tex]Days * Food = \frac{480}{23}[/tex]
[tex]Days * Food = 21[/tex] --- approximated
This is not true because: [tex]21 \ne 23[/tex]
Option (c):
[tex]Days = 8[/tex]
[tex]Food = 3\frac{1}{8}[/tex] per day
So, we have:
[tex]Days * Food = 8 * 3\frac{1}{8}[/tex]
[tex]Days * Food = 8 * \frac{25}{8}[/tex]
[tex]Days * Food = 25[/tex] --- approximated
This is not true because: [tex]25 \ne 23[/tex]
Option (d):
[tex]Days = 11[/tex]
[tex]Food = 2\frac{1}{11}[/tex] per day
So, we have:
[tex]Days * Food = 11 * 2\frac{1}{11}[/tex]
[tex]Days * Food = 11 * \frac{23}{11}[/tex]
[tex]Days * Food = 23[/tex] --- approximated
This is true because: [tex]23 = 23[/tex]
Option (e):
[tex]Days = 7[/tex]
[tex]Food = 3\frac{2}{7}[/tex] per day
So, we have:
[tex]Days * Food = 7 * 3\frac{2}{7}[/tex]
[tex]Days * Food = 7 * \frac{23}{7}[/tex]
[tex]Days * Food = 23[/tex] --- approximated
This is true because: [tex]23 = 23[/tex]
