Help! I cannot figure out how to do this and my teacher does not explain things very well! The question is- An image is 16 in. You want to make a copy that is similar. Its longer side will be 38 in. The copy costs $.60 per square inch, Estimate the copy's total cost.

Question

Help! I cannot figure out how to do this and my teacher does not explain things very well! The question is- An image is 16 in. You want to make a copy that is similar. Its longer side will be 38 in. The copy costs $.60 per square inch, Estimate the copy's total cost.

*What is the approximate length of the shorter side of the copy?
*What is the approximate are of the copy?

P.S. Please explain how you got the answer!

Answer 1

you have only given us one side of the image. To figure the cost, you need the area, which is length x width.

Answer 2

I've got the area part but I typed exactly what was in the textbook.

Answer 3

Hey I am also doing that textbook and I also need help

Answer 4

To solve this problem, you can use the concept of similarity of shapes. When two shapes are similar, their corresponding sides are proportional.

Given information:
Image length = 16 in.
Copy's longer side = 38 in.
Copy's cost = $0.60 per square inch.

1. Finding the length of the shorter side of the copy:
Since the copy is similar to the original image, you can set up a proportion between their corresponding sides.

Proportion:
Original Image Length / Copy's Longer Side = Original Image Shorter Side / Copy's Shorter Side

16 / 38 = (Original Image Shorter Side) / (Copy's Shorter Side)

Now, cross multiply and solve for the copy's shorter side:
16 * (Copy's Shorter Side) = 38 * (Original Image Shorter Side)

Divide both sides by 38 to get the copy's shorter side:
(Copy's Shorter Side) = (16 * (Original Image Shorter Side)) / 38

2. Finding the approximate area of the copy:
The area of a rectangle is calculated by multiplying its length and width. Since the copy is similar to the original, you can use the proportions obtained in the previous step to find the copy's width.

Copy's Length = 38 in.
(Copy's Shorter Side) = (16 * (Original Image Shorter Side)) / 38 (from previous step)

Now, calculate the copy's approximate area by multiplying its length and width:
Copy's Area = Copy's Length * Copy's Shorter Side

3. Estimating the total cost:
The copy's cost is given as $0.60 per square inch. To estimate the total cost, you need to multiply the copy's area by the cost per square inch.

Copy's Total Cost = Copy's Area * Cost per square inch

Now that you know the steps involved, you can substitute the values given and solve for the desired quantities.