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35.9 miles will have from home after 48 minutes.
To calculate this we use the simple formula:
slope formula: m = y2-y1/x2-x1---------(1)
where the values are already given
x1=30; y1=53
x2=44 y2=39.7
m=39.7-53/44-30
=-13.4/14
m=-0.95.
Use the point/slope y - y1 = m(x - x1)--------(2)
substitute the m value in equation(2),we get
y - 53 = -0.95(x - 30)
y - 53 = -0,95x + 28.5
y = -0.95x + 28.5+53
y = -0.95x+81.5--------(3)
Here taking x = 48 because the destination for minutes and substituting in equation(3) we get
y = -0.95(48)+81.5
y = -45.6+81.5
y = 35.9 miles from home after 48 min.
To know more about the slope:
https://brainly.com/question/24092749