A boat travels at a rate of 18 kilometers per hour from its port. A second boat is 34 kilometers behind the first boat when it starts traveling in the same direction at a rate of 22 kilometers per hour to the same port.
Let d represent the distance the boats are from the port in kilometers and t represent the amount of time
in hours. The system of equations ⎧
⎨
⎩
d = 18t + 34 d = 22t
can be used to represent this situation. How many
hours will it take for the second boat to catch up to the first boat? How far will the boats be from their
port? Use the substitution method to solve this real-world application.

The number of hours taken should be 8.5 hours

And, the distance should be 187 km.

d = 18t + 34

d = 22t

Put the d value in the above equation

22t = 18t + 34

22t - 18t = 34

4t = 34

t = 8.5 hours

Now the distance is

= 22(8.5)

= 187 km

Find out more information about the  Distance here :link

-6 is the correct option from the above given options

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation: