Question

The penny size of a nail indicates the length of the nail. The penny size d is given n 1by the literal equation d=4n−2, where n is the length (in inches) of the nail.

Answer 1

a)
`n=(d+2)/(4)`

b)

When d = 3

n = (3+2)/4 = 5/4 inches

When d= 6

n = (6+2)/4 = 2 inches

When d = 10

n = (10+2)/4 = 3 inches

Explanation:

Complete 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 equation for n

b) Use part (a) to find length of nails with the following penny sizes: 3, 6, 10.

Solution:

a)

We use algebra and take 2 to the other side and divide to solve for n. Shown below:

`d=4n-2\\d+2=4n\\n=(d+2)/(4)`

So,

n = (d+2)/4

b)

Since we have to find length of nails, we plug in 3, 6, and 10 respectively into d of the formula we found in part (a).

When d = 3

n = (3+2)/4 = 5/4 inches

When d= 6

n = (6+2)/4 = 2 inches

When d = 10

n = (10+2)/4 = 3 inches