A scientist finds the distances d that two snakes travel in a time of t seconds. the equation 16t = d represents the relationshi
p for the black mamba. the equation 1.5t = d represents the relationship for he rought-scaled snake. graph each equation. which is steeper? what does that tell you about how fast the two snakes are?
From the equation given, the time for the black mamba snake to cover distance d, will be d/16 while that for the the rought-scaled snake would be d/1.5. Assume that the distance covered by both snakes is 200 meters; Then, Time taken by the black mamba is 200/16 = 12.5 seconds, and Time taken by the rought-scaled snake is 200/1.5 = 133.33 seconds Clearly the black mamba is faster at 12.5 seconds compared with the rought-scaled snake.
Yes these rates to form a proportion. This is because if I am able to do 90 sit-ups in 2 minutes then the unit rate (amount of sit ups per minute) is 45. Since my friend does 135 sit-ups in 3 minutes then the unit rate is also 45. Both me and my friend do 45 sit-ups per minute.
{(0, 1), (0, 5), (2, 6), (3, 3)} is not a function because zero is repeated in (0, 1),(0, 5)
While
{(1, 4), (2, 7), (3, 1), (5, 7)} is a function because there is no repetition in domain i.e. first element of each ordered pair is unique.
Step-by-step explanation:
To decide whether a relation is a function or not, the first elements of each ordered pair (domain) are observed. In order for a relation to be a function, there should be no repetition in first elements of each ordered pair.
In the given group of points:
{(0, 1), (0, 5), (2, 6), (3, 3)} is not a function because zero is repeated in (0, 1),(0, 5)
While
{(1, 4), (2, 7), (3, 1), (5, 7)} is a function because there is no repetition in domain i.e. first element of each ordered pair is unique.