Which statement best explains the value of 16 − (−3)?
the additive inverse of −3 is −3, so 16 − (−3) = 19.
the additive inverse of −3 is −3, so 16 − (−3) = 13.
the additive inverse of −3 is +3, so 16 − (−3) = 19.
the additive inverse of −3 is +3, so 16 − (−3) = 13.

point a is located at negative 6 over 8 and point b is located at negative 1 over 8. what is the distance between points a and b?

negative 6 over 8 plus negative 1 over 8 = negative 7 over 8; therefore, the distance from a to b is absolute value of negative 7 over 8 equals negative 7 over 8 units

negative 6 over 8 plus negative 1 over 8 = negative 7 over 8; therefore, the distance from a to b is absolute value of negative 7 over 8 equals 7 over 8 units

negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from a to b is absolute value of negative 5 over 8 equals negative 5 over 8 units

negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from a to b is absolute value of negative 5 over 8 equals 5 over 8 units

why is 2 + (−3) equal to −1?
because it is 3 units to the left of 2 on a horizontal number line
because it is 3 units to the right of 0 on a horizontal number line
because it is 3 units to the left of 0 on a horizontal number line
because it is 3 units to the right of 2 on a horizontal number line

Step-by-step explanation:

The answers are the explanation.

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Comment on the second question

Note that the second question asks for the distance from -6/8 to -1/8. Ordinarily, the distance from A to B would be computed as B - A. In this set of answer choices, it is computed as |A - B|. In the end, the result is the same.

Personally, I would compute the distance between points on a number line by subtracting the left point from the right point. Here, that would also correspond to B - A.

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Comment on choosing 'word' answers

In a set of answers like these, one way to choose answers is simply to eliminate the ones that make a false statement. Often, you are left with only the correct answer choice.

For example, the statement "the additive inverse of -3 is -3" is a false statement, so the first two answer choices can be eliminated. Likewise, the statement 16 -(-3) = 13 is false, so that choice can be eliminated. The one remaining answer is the correct one.

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).