Mathematics, 12.07.2019 14:30 akeelahbolton4

The function d(x) = 1375 − 110x represents the distance (in miles) a high-speed train is from its destination after x hours. (section 3.3) a. how far is the train from its destination after 8 hours? b. how long does the train travel before reaching its destination?

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If the function d(x) = 1375 − 110x represents the distance (in miles) a high-speed train is from its destination after x hours:

a) The train is 495 miles from its destination after 8 hours

b) It will take the train 12.5 hours to travel before reaching its destination

The given function is:

d(x) = 1375 - 110x

Where d(x) is the distance (in miles) a high-speed train is from its destination after x hours.

a) How far is the train from its destination after 8 hours?

To find how far the train is from its destination after 8 hours, substitute x = 8 into d(x) = 1375 - 110x

d(8) = 1375 - 110(8)

d(8) = 1375 - 880

d(8) = 495

The train is 495 miles from its destination after 8 hours

b) How long does the train travel before reaching its destination?

Note that:

d(x) = 1375 - 110x

From the equation above, the speed at which the train is traveling is 110 miles/hr

The distance of the destination = 1375

The time it will take to reach the destination will be calculated as:

Time = Distance / speed

Time = 1375 / 110

Time = 12.5

It will take the train 12.5 hours to travel before reaching its destination

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Answer from: alexisthegirl

D(x) = 1375 - 110xwhere x is the hrs traveled and d(x) is the distance in miles left to travel

(a) after 8 hrsso x = 8
d(8) = 1375 - 110(8)
d(8) = 1375 - 880
d(8) = 495...so after 8 hrs, u r 495 miles short of ur destination

(b) before reaching its destination...its destination is 1375 milesand if u r traveling 110 miles per hr1375/110 = 12.5so after 12.5 hrs, u should reach ur destination.

Answer from: Quest

step-by-step explanation:

the total is 23.97. 0.25% is off so you have to subtracting 25% from 100% and you will get 75% if you convert it to decimal you will get 0.75. you have to find the original because the formula is % times original = total.so you have the total and the % so you just have to plug it in.

Answer from: Quest

its kind of blurry. can you put a clearer pic?

step-by-step explanation:

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