Question

The scatter plot shows​ Leanna's elevation above sea level during a hike. The trend line passes through the points left parenthesis 30 comma 1070 right parenthesis and left parenthesis 75 comma 1680 right parenthesis. If Leanna starts at 663 feet above sea level and maintains the same​ rate, how far above sea level will she be after one​ hour?
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Question content area bottom
Part 1
The​ y-intercept is
  
663.33 and the slope is
  
13.56. ​Thus, the equation for the trend line is yequals
  
13.56xplus
  
663.33.
​(Type integers or decimals rounded to two decimal places as​ needed.)
Part 2
After one​ hour, her altitude will be
  
enter your response here feet above sea level.
​(Type an integer or decimal rounded to two decimal places as​ needed.)

Answer 1

Use the exact slope m = (1680−1070)/(75−30) = 122/9 and intercept b = 1990/3 ≈ 663.33. After 1 hour (60 minutes):

y = (122/9)(60) + 1990/3 = 4430/3 ≈ 1476.67.

So she will be about 1476.67 feet above sea level.