Step-By-Step Solution:
To represent the situation with Marcy tracking the depth of the baby shark in the ocean, you can create a numeric expression.
1. Denote the initial depth of the baby shark as [tex]0[/tex] (at sea level).
2. Since the baby shark swims 3 more feet below sea level each day, the depth can be represented by the following expression:
[tex]0-3\times 5=-3\times5=-(3\times5)=-(15)=-15\ feet[/tex]
Therefore, after 5 days, the shark will be swimming at a depth of -15 feet below sea level.
To determine the overall concrete amount used to make the sidewalk by the construction worker, you can also create a numeric expression.
1. Denote the initial concrete amount as [tex]0[/tex].
2. The construction worker adds [tex]\frac{1}{4}[/tex] of a bucket of concrete mix [tex]6[/tex] times, which can be represented as:
[tex]0+6\times\frac{1}{4}=6\times\frac{1}{4}=3\times\frac{1}{2}=\frac{3}{2}=1\frac{1}{2}=1.5\ buckets[/tex]
3. Then, the worker removes [tex]\frac{1}{8}[/tex] of a bucket [tex]2[/tex] times, which can be represented as:
[tex]1.5-2\times\frac{1}{8}=1.5-\frac{1}{4}=1.5-0.25=1.25\ buckets[/tex]
Therefore, the overall concrete amount used to make the sidewalk is 1.25 buckets.
Answer:
1.25 buckets