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Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level. 7h – 5(3h – 8) = –72

Which statement is true about Pieter’s solution?

  1. It cannot be a fraction or decimal because the depth of the well is a whole number.

2.It must be a positive number since it represents a number of hours.

  1. It must be a negative number because the depth is below sea level.

4.It cannot be greater than –72 because that is the depth of the well.

Verified Answer :

the answer is B It must be a positive number since it represents a number of hours.

Answer:

Option B is correct

It must be a positive number since it represents a number of hours.

Step-by-step explanation:

As per the statement:

Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.

Given the equation as:

\(7h-5(3h-8) = -72\)

Using distributive property, \(a\cdot (b+c) = a\cdot b+ a\cdot c\)

\(7h-15h+40 = -72\)

Combine like terms;

\(-8h+40 = -72\)

Subtract 40 from both sides we have;

\(-8h= -112\)

Divide both sides by -8 we have;

h = 14 hours

Therefore, the statement is true about Pieter’s solution is, It must be a positive number since it represents a number of hours.

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