Question

1. a photograph is 5 inches by 7 inches. ellie is using a copier to enlarge the photograph setting, the scale factor is 1 . at the 150% setting, the scale factor is 1.5 . she wants to photograph as much as possible and still have it fit on an 8.5 by 11 inch piece of pap would be best?

a) 50%
b) 125%
c) 155%
d) 170%

Explanation:

Step1: Calculate max scale for 5in side

$\text{Scale factor}_1 = \frac{8.5}{5} = 1.7$ (170%)

Step2: Calculate max scale for 7in side

$\text{Scale factor}_2 = \frac{11}{7} \approx 1.571$ (157.1%)

Step3: Compare options to max valid scale

We need the largest setting ≤ 157.1%

Answer:

C) 155%