The cost to mail a letter with the United States Postal Service is calculated by the weight of the letter in ounces and is given by the equation c = 0.21(x − 1) + 0.50. What does the value 0.50 most likely represent?

A) The cost, in dollars, to mail a one ounce letter
B) The cost, in dollars, to mail an additional ounce.
C) The average weight, in ounces, of a letter.
D) The total weight, in ounces, of a letter.

The variable x is the weight of the letter and they subtract 1 from that, so adding the 0.50 at the end of the equation would be the cost for a one ounce letter.

The answer is:

A) The cost, in dollars, to mail a one ounce letter

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions