Darius is a graphic designer he makes a sign for a company that has a width of 2 feet and a length of 2 feet 6 inches the company liked it so much they asked him to make the same design into flyers that are 10 inches by 8 inches its easy to do on darius computer program he must type in the scale factor to change it darius figure out what is the scale factor explain how you found it using complete sentences use math vocabulary so he knows that he can believe you

Step-by-step explanation:

Width of the sign made by Darius initially = 2 feet

Length of the sign = 2 feet 6 inches

Dimension of the flyer are 10 inches by 8 inches. Since, in original sign the measure of length is greater, therefore, the length of flyer is 10 inches and its width is 8 inches.

In order to find the scale factor we must convert the lengths and widths to same units. Lets convert the length and width of sign into inches.

Since, 1 feet = 12 inches

Length of the sign = 2 feet 6 inches = 2(12) + 6 inches = 30 inches

Width of the sign = 2 feet = 2(12) inches = 24 inches

Now we can find the scale factor by either comparing the lengths or widths of both the designs. Scale factor will be equal to the ratio of corresponding lengths/widths.

So, the scale factor would be:

Length of Flyer : Length of Sign

= 10 inches : 30 inches

= 1 : 3

=

This shows, the length of flyer is times as that of the sign. So, the scale factor that Darius must use is . The length and width of the flyer are as that of the sign.

The same scale factor would result if we would have used the ratio of widths instead of the lengths.

Scale Factor = Width of Flyer : Width of sign

= 8 : 24

= 1 : 3

Therefore, Darius must type the scale factor of in his computer to get the size of the flyer.