how do i write these in equations to represent each situation?
1. the perimeter P of a rectangle is the sum of twice the length L and twice the width W
2. the volume V of a rectangular prism is the product of its three dimensions: length L,width W, and height H
3. The cost C of a telegram of 18 words is the cost F of the first 10 words plus the cost A of each additional word.
To represent each situation as equations, we will break down the given information and convert it into mathematical expressions.
1. Perimeter of a rectangle:
We are given that the perimeter (P) of a rectangle is the sum of twice the length (L) and twice the width (W).
P = 2L + 2W
2. Volume of a rectangular prism:
We are given that the volume (V) of a rectangular prism is the product of its three dimensions: length (L), width (W), and height (H).
V = L * W * H
3. Cost of a telegram:
We are given that the cost (C) of a telegram with 18 words is the sum of the cost (F) of the first 10 words and the cost (A) of each additional word.
C = F + A * (Total words - 10)
In this case, the total number of words is 18, and the first 10 words already have a cost (F). So, the number of additional words is (Total words - 10). We multiply the number of additional words by the cost per additional word (A), and add it to the cost of the first 10 words (F).