+190 Sven ask the print shop to decrease the size of the business cards. He wants the logo for the cards to measure 1 inch wide and2.25 inches long.
A. Wich scale factor should the print shop use in order to create the logo?
B. Find the percent decrease of the dimensions used to produce the business card logo
+23245 An object 8 inches by 4 inches won't dilate down to 2.25 inches by 1 inch.
Because, to reduce 4 inches down to 1 inch, divide by 4; however, if you divide 8 inches by 4, you get 2 inches, not 2.25 inches.
Thus, you can't use just one scale factor in both directions.
To reduce 8 inches down to 2.25 inches, you need a scale factor of 2.25 / 8 or 0.28125.
To reduce 4 inches down to 1 inch, you need a scale factor of 1 / 4 = 0.25.
To calculate percent decrease: divide the amount of decrease by the original amount:
For the 8 inches down to 2.25 inches, the amount of decrease is 8 inches - 2.25 inches = 5.75 inches.
Now, divide this amount by the original amount: 5.75 inches / 8 inches = 0.71875 or 71.875%
The percent in the other direction can be calculated in the same way.
+23245 An object 8 inches by 4 inches won't dilate down to 2.25 inches by 1 inch.
Because, to reduce 4 inches down to 1 inch, divide by 4; however, if you divide 8 inches by 4, you get 2 inches, not 2.25 inches.
Thus, you can't use just one scale factor in both directions.
To reduce 8 inches down to 2.25 inches, you need a scale factor of 2.25 / 8 or 0.28125.
To reduce 4 inches down to 1 inch, you need a scale factor of 1 / 4 = 0.25.
To calculate percent decrease: divide the amount of decrease by the original amount:
For the 8 inches down to 2.25 inches, the amount of decrease is 8 inches - 2.25 inches = 5.75 inches.
Now, divide this amount by the original amount: 5.75 inches / 8 inches = 0.71875 or 71.875%
The percent in the other direction can be calculated in the same way.
