2) This relationship shows that the greater the time after a recession, the lower the unemployement rate.
3) This is a linear function.
4) It passes the vertical line test and there are only one output for every given input. The Unemployemeny rate decreases by about 1% for every year after the recession has ended.
5) U=(f)*T
6)This function is a mathematical model because the output is directly dependent on the input.
B.
Bills passed by the US Congress by year
2014- N/A
2013- 611
2012- 861
2011- 1101
This relationship shows the relationship between the year and the amount of bills the US Congress passed.
This is not a function because the output is not dependent on the input.
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ReplyDeleteIts interesting to see how the time after the recession effects unemployment rate and how it shows a relationship that gives an average rate of change
ReplyDeleteI think, the definition of Mathematical Model is whether or not it the output depends on the input, not the function.
ReplyDeleteyep!
DeleteI am kind of confused... I believe that section b is a function. Just because the numbers vary does not mean it is not a function, that simply means it is not a mathematical model...
ReplyDeleteyou are correct, ariana!
DeleteThis is definitely a function, just not a mathematical model
ReplyDeleteThe rescession had a bigger effect on unemployment rates than i thought! Interesting!
ReplyDeleteVery interesting examples!
ReplyDeletemax,
ReplyDeletei was unable to see your article for the first example, but it looks like you did a good job of explaining why it is a function using mathematical vocabulary. i would have to agree with matthew, in that i am not sure you can argue that this is a mathematical model.
your second example IS a function. if the output is not dependent on the input this means the relationship is not a mathematical model. it is not the criteria for a relationship that is not a function. relationships that are not functions do not pass the vertical line test and for each input there is more than one output value.
professor little