Question

the fastest mayon volcano lava flow moved at an average speed of 6 miles per hour.the function f(x)=6x describes the distance f(x) the lava moved on average in x hours.use graph to estimate how many miles the lava moved after 5.5 hours.how many hours will the nearest town be reached by lava flow when it is 10 miles away from the volcano​

Answer 1

Given : volcano lava flow moved at an average speed of 6 miles per hour.the function f(x)=6x describes the distance f(x) the lava moved on average in x hours

To Find : how many miles the lava moved after 5.5 hours.

how many hours will the nearest town be reached by lava flow when it is 10 miles away from the volcano​

Solution:

f(x) = 6x

x  = Time in hrs

f(x) = Distance in miles  lava moved in x hrs  

x = 5.5

=> f(5.5) = 6 (5.5)

=> f(5.5) = 33  miles

10 miles away from the volcano​

=> f(x) = 10

=> 10  = 6x

=> x = 10/6

=>  x = 5/3 hrs

=> x = 1 2/3 hrs

=> x = 1 hr 40  minutes

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