Question

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 help 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

Answer 1

The scale factor is 1/3

Explanation:

* Lets explain how to solve the problem

- The scale factor of drawing is a ratio between the drawing

dimensions and the actual dimensions

∵ The actual dimensions of the sign are 2 feet as width and

2 feet 6 inches as length

∵ The dimensions of the flyers are 10 inches and 8 inches

- Now we have the actual dimensions and the drawing

dimensions, so we can find the scale factor of drawing by

dividing the drawing dimensions by the actual dimensions

∵ The width of the sign is 2 feet and the length is 2 feet 6 inches

∵ 1 foot = 12 inches

∴ The width of the sign = 2 × 12 = 24 inches

∴ The length of the sign = 2 × 12 + 6 = 24 + 6 = 30 inches

∴ The actual dimensions are 24 inches and 30 inches

∵ The dimensions of the flyers are 8 inches and 10 inches

∴ The scale drawing = 8/24 = 1/3 OR 10/30 = 1/3

∴ The dimensions of the flyer are 1/3 the dimensions of the sign

- He must multiply each dimension of the sign by 1/3 to get the

dimensions of the flyer

∴ The scale factor is 1/3