The questions can be<u> represented</u> on a number line so that they become more <em>clear</em> and <em>meaningful</em>. The answers to each question are:
1. The <em>scuba</em> <em>diver's</em> <u>previous</u> deepest dive was 32 feet below the surface of the <em>ocean</em>.
2. Option A. -5.1 + d > 3.5 <u>OR</u> C. -5.1 + d > 3.5
3. Alex would <u>represent</u> it as: >
A number line is a <u>system</u> that can be used to show the <em>positions</em> of all <u>directed</u> numbers.
Thus, the <u>solutions</u> to the given <u>questions</u> are stated below:
1. Let the <em>scuba diver's</em> previous deepest dive be represented by d . Such that,
2.5 d = - 80 .......... 1
So that;
d + p = -80 ............ 2
From equation 1,
2.5 d = -80
d = -32 feet
From equation 2,
-32 + P = - 80
p = -80 + 32
= -48 feet
p = -48 feet
⇒ -32 + (-48) = -80
Therefore, the <em>scuba diver's</em> previous deepest dive was 32 feet below the surface of the ocean.
2. This situation can easily be <u>represented</u> by a <em>number line</em>, so that Veronica's <u>home</u> is located at point zero of the <em>number line</em>.
Then, the total distance that Veronica drove, d = (5.1 + 3.5) miles
= 8.6 miles
Thus, since the distance to the store is more than 3.5 miles east of her home, thus the appropriate <u>inequality</u> that represents the <em>situation</em> is:
-5.1 + d > 3.5
The correct option is: A or C
3. Let the number be represented by n, so that:
n >
Alex would <em>represent</em> the <u>statement</u> as: >
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