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Question

The acidity of a solution is measured by its pH, with lower pH values indicating more acidity. A study of acid rain was undertaken in Colorado between 1975 and 1978, in which the acidity of rain was measured for 150 consecutive weeks. The data followed a generally linear pattern. If P is the pH and t is the number of weeks into the study, the regression line was determined to be $P=5.43-0.0053 t$. According to the line , what was the pH at the begin of the study? At the end of the study (t=150)?

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2Beginning of the study is when $t=0$, end of the study is when $t=150$, thus

$pH(t=0) = 5.43 - 0.0053\cdot 0 = 5.43$

$pH(t=150) = 5.43 - 0.0053 \cdot 150 = 4.635$

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