Suppose that 13 inches of wire costs 39 cents at the same rate how much (in cents) will 49 inches of wire cost
If 13 inches of wire costs 39 cents, then the cost per inch of wire is 39/13 = 3 cents.
Therefore, 49 inches of wire will cost 49 * 3 = <<49*3=147>>147 cents. Answer: \boxed{147}.
To find out how much 49 inches of wire will cost at the same rate as 13 inches, we can set up a proportion.
Let's define the cost of 13 inches of wire as C1 (39 cents) and the cost of 49 inches of wire as C2 (unknown).
So, the proportion can be set up as:
13 inches / 49 inches = C1 / C2
Simplifying the proportion:
13/49 = 39/C2
Now, we can solve for C2 by cross-multiplying and then dividing:
13 * C2 = 49 * 39
C2 = (49 * 39) / 13
C2 = 3 * 39
C2 = 117
Therefore, 49 inches of wire will cost 117 cents.
To find out how much 49 inches of wire will cost at the same rate, we can use the concept of proportions.
Let's set up a proportion based on the given information:
13 inches of wire costs 39 cents.
Let's assign variables to the unknown values:
Let the cost of 49 inches of wire be represented by x cents.
Using the proportion, we can compare the ratios of inches to cost:
13/39 = 49/x
To solve for x, we can cross multiply:
13 * x = 49 * 39
Now, let's calculate the value of x:
13x = 1911
Dividing both sides by 13:
x = 147
Therefore, 49 inches of wire will cost 147 cents.
Note: It's worth mentioning that the given values must be accurate and represent a constant rate per inch of wire for this solution to be applicable.