Answer:
a) [tex]n=\frac{d+2}{4}[/tex]
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
Step-by-step 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:
[tex]d=4n-2\\d+2=4n\\n=\frac{d+2}{4}[/tex]
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
