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Sebastian was driving down a road and after 4 hours he had traveled 98 miles. At this
speed, how many hours would it take Sebastian to thrive 245 miles?
Fill out the table of equivalent ratios until you have found the value of x.

Sebastian was driving down a road and after 4 hours he had traveled 98 miles At this speed how many hours would it take Sebastian to thrive 245 miles Fill out t class=

Respuesta :

RachelYoshida

Answer:

Let x = speed for the first 96 miles

x - 9 = speed for the last 100 miles

Distance = (rate)(time), so time = (distance)/(rate)

(time for first part of trip) + (time for last part of trip) = 4 hours

So, (96)/(x) + (100)/(x - 9) = 4

Multiply both sides by the LCD (x)(x - 9) to get

96(x - 9) + 100x = 4x(x - 9)

96x - 864 +100x = 4x2 - 36x

4x2 - 232x + 864 = 0

Divide both sides by 4 to obtain x2 - 58x +216 = 0

(x - 4)(x - 54) = 0

x = 4 or x = 54

Note that x can't equal 4 because, in that case, x - 9 would be negative, so x = 54 miles per hour.

Step-by-step explanation:

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