Question

Michelle is having a poster printed from a picture that is 4 inches wide by 6 inches tall. The enlarged poster is 20 inches wide and 30 inches tall. Which proportion can be used to represent the picture sizes?

StartFraction 6 over 4 EndFraction = StartFraction 20 over 30 EndFraction
StartFraction 4 over 6 EndFraction = StartFraction 20 over 30 EndFraction
StartFraction 4 over 6 EndFraction = StartFraction 30 over 20 EndFraction
StartFraction 4 over 30 EndFraction = StartFraction 6 over 20 EndFraction

Answer 1

B

Explanation:

This is becuase 30 and 6 are both the inches in height so their units must line up same goes with 4 and 20 becuase they are the same unit they must line up accordingly in the equation.

Answer 2

The correct answer is:

Option 2:
`(4)/(6) = (20)/(30)`

Explanation:

Given that

Width of picture = 4 inches

Length of picture = 6 inches

Now

Width of poster = 20 inches

Length of poster = 30 inches

The proportion of the picture will be:

`(width)/(length) = (4)/(6)`

Similarly the proportion of poster can be written as:

`(width)/(length) = (20)/(30)`

Both proportions when combined can be written as:

`(4)/(6) = (20)/(30)`

Hence,

The correct answer is:

Option 2:
`(4)/(6) = (20)/(30)`