Question

A research firm determined that the equation y=2x+80 can be used to model the total amount of spending by tourist in florida,y, in billions of dollars, for the years 2013-2017 where x is the number of years since 2013. Please find the domain and range

Answers

1. Answer:
The domain range is 0 – 4
The Range is  $80 to$88 billion
Step-by-step explanation:
For the expression y=2x+80, where x is the number of years since 2013
The domain contains the values on the x-axis, which is defined as the number of years since 2013.  x = 0 for 2013, and x = 4 for 2017.  The domain  is therefore from 0 to 4.  Use the values of x (0 and 4) to find the range in $billion. The range is the output that results from the domain and is shown on the y axis. Given the domain of 0 – 4, we can find the values of y that would result: Domain Range ($ billion)
0                 80                               [y = 2(0)+80 ;  y = $80 billion] 4 88 [y = 2(4)+80 ; y =$88 billion]

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2. Answer:
The domain of the equation y=2x+80 is all real numbers for x. This is because the equation is linear and the domain of a linear equation is all real numbers.
The range of the equation y=2x+80 is all real numbers greater than or equal to 80. This is because the equation is linear and the range of a linear equation is all real numbers greater than or equal to the y-intercept. In this case, the y-intercept is 80.
Using the equation y=2x+80, we can determine the total amount of spending by tourists in Florida for the years 2013-2017.
For 2013, x=0 and y=80, so the total amount of spending by tourists in Florida in 2013 was 80 billion dollars.
For 2014, x=1 and y=82, so the total amount of spending by tourists in Florida in 2014 was 82 billion dollars.
For 2015, x=2 and y=84, so the total amount of spending by tourists in Florida in 2015 was 84 billion dollars.
For 2016, x=3 and y=86, so the total amount of spending by tourists in Florida in 2016 was 86 billion dollars.
For 2017, x=4 and y=88, so the total amount of spending by tourists in Florida in 2017 was 88 billion dollars.

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