Joe has a picture that measures 8 centimeters by 12 centimeters. He creates four enlargements of the picture. The table below shows the width and the length of each enlargement.
What is the constant of proportionality between the width and the length of the pictures?
Responses
A 0.5
B 1.2
C 1.5
D 2.5
To find the constant of proportionality between the width and the length, we can divide the length of each enlargement by its corresponding width.
For enlargement 1, the length is 16 centimeters and the width is 10 centimeters. Therefore, the ratio of length to width is 16/10 = 1.6.
For enlargement 2, the length is 24 centimeters and the width is 15 centimeters. Therefore, the ratio of length to width is 24/15 = 1.6.
For enlargement 3, the length is 32 centimeters and the width is 20 centimeters. Therefore, the ratio of length to width is 32/20 = 1.6.
For enlargement 4, the length is 40 centimeters and the width is 25 centimeters. Therefore, the ratio of length to width is 40/25 = 1.6.
Since the ratios are all equal to 1.6, the constant of proportionality between the width and the length is 1.6.
Therefore, the correct answer is not provided.