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The cost to rent a limousine at deluxe limousine is as follows:2 hours cost $175 and 7 hours cost $ 425.write a linear function to model the relationship between the total cost and the number of hours the limousine is rented

Respuesta :

Answer:

y = 50x + 75

Step-by-step explanation:

equation formula is y = mx + b

Let's set "coordinates" to make this easier. (2, 175) and (7, 425)

m = slope

slope = change in y/change in x = (425 - 175) / (7 - 2) = 250 / 5 = 50

So equations is now y = 50x + b

To get b, substitute one of the coordinates.

175 = 50(2) + b

175 = 100 + b

75 = b

So equation is y = 50x + 75