Question

FAN AND MEDAL
A company is redesigning their package for model cars. The graphic design team needs to take the old image shown below and resize it so that 1/2 inch in the old package represents 1/3 inch on the new package. Find the length of the new image on the package. The image measures 2 inches (length)
I know how to solve this using proportions, but lease solve it using the expression and table strategies.

Answer 1

@satellite73

Answer 2

we can do this

Answer 3

lets do it by thinking
the old image was 2, which is four times one half
the new one will be four times one third

Answer 4

the exression format it y=kx, the k is the scale factor

Answer 5

\[\frac{\frac{1}{2}}{\frac{1}{3}}=\frac{1}{2}\times \frac{3}{1}=\frac{3}{2}\]

Answer 6

oh actually you are going the other way, so \(\frac{2}{3}\) is the "scale factor"

Answer 7

why did u multiply them both and flip 1/3

Answer 8

and how would the table look like @satellite73

Answer 9

please answer

Answer 10

@jim_thompson5910

Answer 11

@ganeshie8 @Directrix

Answer 12

I'm not sure what they mean by "table strategies", so I'm not going to be helpful in that area.

Answer 13

we have to make a table to help us and odel the problem

Answer 14

dpes someone know how to?

Answer 15

I don't know what "table strategies" means in the context of this problem. Maybe you could post an example of a table strategy problem and solution from your textbook so that we would know what this is. Like you, I've only had experience solving this type problem with Geometry and properties of similar figures.

Answer 16

lol I was the one who said table stretegie, I mean maybe you could model the problems using a table, like a column fr actual and another fr model. I just dnt know how.

Answer 17

I don't know how we would know which numbers to put into a table. Sorry.