4. decide whether each table could represent a proportional relationship. if the relationship could be…

4. decide whether each table could represent a proportional relationship. if the relationship could be proportional, what would be the constant of proportionality?\na. the sizes you can print a photo\nb. the distance from which a lighthouse is visible

4. decide whether each table could represent a proportional relationship. if the relationship could be proportional, what would be the constant of proportionality?\na. the sizes you can print a photo\nb. the distance from which a lighthouse is visible

Answer

Explanation:

Step1: Check proportionality for part a

For a proportional relationship, the ratio of (y) (height) to (x) (width) should be constant. For (x = 2,y=3), the ratio is (\frac{3}{2}=1.5). For (x = 4,y = 6), the ratio is (\frac{6}{4}=1.5). For (x=5,y = 7), the ratio is (\frac{7}{5}=1.4). Since (\frac{3}{2}=\frac{6}{4}\neq\frac{7}{5}), the relationship is not proportional.

Step2: Check proportionality for part b

For (x = 20,y = 6), the ratio is (\frac{6}{20}=0.3). For (x = 45,y=9), the ratio is (\frac{9}{45}=0.2). Since (\frac{6}{20}\neq\frac{9}{45}), the relationship is not proportional.

Answer:

a. The relationship is not proportional. b. The relationship is not proportional.