Nora can do 70 push-ups in 2 minutes. Luke can do 105 push-ups in 3 minutes. Do
these rates from a proportion? Explain.

They can both do 35 push-ups per minute, with an equal ratio between them.

Step-by-step explanation:

Given that Nora can do 70 push-ups in 2 minutes, and Luke can do 105 push-ups in 3 minutes, to determine if these rates from a proportion the following calculation should be performed:

70/2 = X

35 = X

105/3 = X

35 = X

Therefore, they can both do 35 push-ups per minute, with an equal ratio between them.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents