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The table shows the distance traveled at various times during a trip. Time vs. Distance Traveled During a Trip Time (minutes), x Distance traveled (miles), y 11 8 28 22 59 63 73 80 87 91 99 94 A regression calculator is used to produce a scatterplot and regression line for the data. Using the equation of the line, what is the approximate distance traveled after 44 minutes? 40 miles 43 miles 47 miles 50 miles

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B) 43 miles, is the answer

Answer:

43 miles

Step-by-step explanation:

Using a graphing calculator, first enter the x-values into the first list.  Enter the y-values into the second list.  Running the regression, we get (rounding to the nearest hundredth)

y = ax + b,

a = 1.06

b = -3.29

This gives us the equation y = 1.06x - 3.29.

Substituting 44 in place of x gives us

y = 1.06(44) - 3.29 = 43.35 ≈ 43

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