Question

The penny size of a nail indicates the length of the nail. The penny size d
is given by the literal equation d=4n−2
, where n
is the length (in inches) of the nail.

a. Solve the equation for n

n=

b. Use the equation from part (a) to find the lengths of nails with the following penny sizes: 3, 6, and 10.
A 3-penny nail is__inches.

A 6-penny nail is__inches.

A 10-penny nail is__inches.

Answers

  1. By working with the given linear equation we will see that:
    a) n = (d + 2)/4
    b)
    • A 3-penny nail is_5/4_inches.
    • A 6-penny nail is_2_inches.
    • A 10-penny nail is_3_inches.

    How to solve the equation for n?

    Here we have the linear equation:
    d = 4n – 2
    We want to solve it for n, it means that we need to isolate n in one side of the equation.
    If we first add 2 in both sides of the equation, and then we divide both sides by 4, we will get:
    d + 2 = 4n
    (d + 2)/4 = n
    That is the equation solved for n.
    b) The penny size is d, and n is the length of the nail, then:
    if d = 3, we have:
    n = (3 + 2)/4 = 5/4
    if d = 6, then:
    n = (6 + 2)/4 = 2
    if d = 10, then:
    n = (10 + 2)/4 = 3
    Thus:
    • A 3-penny nail is_5/4_inches.
    • A 6-penny nail is_2_inches.
    • A 10-penny nail is_3_inches.
    if you want to learn more about linear equations:
    #SPJ1

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