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goran is driving to new york city. suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). goran has 53 miles to his destination after 30 minutes of driving, and he has 39.7 miles to his destination after 44 minutes of driving. how many miles will he have to his destination after 48 minutes of driving?

Sagot :

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

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