Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
1-3. Quiz
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Exercise 16 Page 128

Practice makes perfect
a Let's look at the given function.
d(x)=1375-110x In this function d is the distance that a train is from its destination after traveling x hours. To determine the distance after 8 hours, we substitute 8 in the function and evaluate.
d(x)=1375-110x
d( 8)=1375-110( 8)
d(8)=1375-880
d(8)=495
After traveling for 8 hours, the train will be 495 miles from its destination.
b To find when the train arrives at its destination, we need to find the value of x for which d(x) will equal 0 because the train will be 0 miles from the destination. To determine the number of hours it takes for the train to reach its destination, we simply substitute d(x)= 0 into the function and solve for x.
d(x)=1375-110x
0=1375-110x
110x=1375
x=12.5
Therefore, it will take the train 12.5 hours to reach its destination.