A photocopier enlarges by a ratio of 7:4. A picture measures 6 cm by 4 cm. How many consecutive enlargements can be made so that the largest possible picture will fit on a sheet measuring 30 cm by 20 cm?
3 answers
4 * [(7/4)^n] = 20
Hi scott, Thank you for your answer. Can you please explain it?
4 (the short side) is multiplied by 7/4 (the enlarging factor) n times to equal 20 (the short side of the large sheet)
4 * 7/4 * 7/4 ... = 20
n is probably not an integer , so just round it down to the next whole number
... no fractional enlargements
you can start with 4 and keep multiplying by 7/4 until you hit 20
... just count the number of multiplications
4 * 7/4 * 7/4 ... = 20
n is probably not an integer , so just round it down to the next whole number
... no fractional enlargements
you can start with 4 and keep multiplying by 7/4 until you hit 20
... just count the number of multiplications
1 answer