Question

The graph shows​ Maria's distance from her house during the first hour of her drive home from the beach. The trend line passes through the points left parenthesis 0 comma 94 right parenthesis and left parenthesis 30 comma 70 right parenthesis. Use this information to answer 6dash7.
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Part 1
6. Which of these is an equation of the trend line for the data set​ shown? Use x to represent the time in minutes and y to represent the distance driven in miles.
A.
yequalsnegative four fifths x plus 94
Your answer is correct.B.
xequalsnegative four fifths y plus 94
C.
xequalsnegative four fifths y minus 94
D.
yequalsnegative four fifths x minus 94
Part 2
7. Predict the distance Maria is from her house when she has been driving for 45 minutes. Show your work.
Maria will be approximately
  
enter your response here miles from her house. To predict the distance Maria is from her​ house, substitute
  
enter your response here for
y, and evaluate to find x.
​(Type integers or​ decimals.)
Use x to represent the time in minutes and y to represent the distance driven in miles.Maria will be approximatelymiles from her house.To predict the distance Maria is from her house, substituteforfor(Type integers or decimals.)

Answer 1

Part 1: y = −4/5 x + 94 (given)

Part 2: y = −4/5(45) + 94 = −36 + 94 = 58.

Maria will be approximately 58 miles from her house.
To predict this, substitute 45 for x and evaluate to find y.