Sam can type 365 words in 8 minutes. What is the constant of proportionality that relates the number of words typed, y, to the number of minutes it took to type, x? (Remember that constant of proportionality is k = y/x) (1 point)

A. 50 words per minute

B. 46 words per minute

C. 44 words per minute

D. 36 words per minute

1 answer

To find the constant of proportionality, we divide the number of words typed (365) by the number of minutes it took to type (8):

k = 365/8

Simplifying the expression:
k ≈ 45.625

Rounding to the nearest whole number:
k ≈ 46

Therefore, the constant of proportionality is 46 words per minute. The answer is option B.