oe 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 0.50.5
B 1.21.2
C 1.51.5
D 2.5
It appears that the table showing the width and length of each enlargement is not provided in your question, which is necessary to determine the constant of proportionality between the width and the length. The constant of proportionality is the ratio that is constant between two proportional quantities.
In the original picture, the width-to-length ratio is:
Width (W) / Length (L) = 8 cm / 12 cm = 2 / 3
To calculate the constant of proportionality (k), we need at least one pair of width and length from the enlargements that you mention. Since it's not provided, I'll show you how to calculate it if you do have the dimensions.
If for an enlargement, the width is 'W_enlarged' and the length is 'L_enlarged', then the constant of proportionality 'k' is calculated as:
k = W_enlarged / L_enlarged
This 'k' should be constant across all enlargements if they are proportional to the original picture.
To find the correct option (A, B, C, or D) from the provided choices, we would need the width and length of at least one enlargement. Please provide that information, and I will be able to calculate the constant of proportionality for you.