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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.
3. 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.

Respuesta :

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:

[tex]7h-5(3h-8) = -72[/tex]

Using distributive property, [tex]a\cdot (b+c) = a\cdot b+ a\cdot c[/tex]

[tex]7h-15h+40 = -72[/tex]

Combine like terms;

[tex]-8h+40 = -72[/tex]

Subtract 40 from both sides we have;

[tex]-8h= -112[/tex]

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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