Question

HELP! ANDM WORK! Answer the following questions about the problem above. Write in complete sentences to get full credit.

Answer 1

Step-by-step explanation:

Part 1) What is the slope for section "d" of Mrs. Washington's commute

As the slope for section "d" of Mrs. Washington's commute can be computed by the following formula:

$\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

⇒ $\frac{6 - 0}{32 - 20}=\frac{1}{2}$

Therefore, the slope for section "d" of Mrs. Washington's commute $\frac{1}{2}=0.5$

Part 2) What does it mean that the slope is negative in context of the problem?

• The slope is negative in context of the problem means the slope is moving downward from the left.
• In negative slop, the value of x gets increased, while the vale of y gets decreased while in case of positive slop, the value of both x and y get increased.

Part 3) Why are the slopes different over different intervals?

• Slopes are different at different intervals. The reason is that the distance covered in time taken for each part of the given journey are different.
• Also, the speed is different for each interval depending upon the time taken to cover the distance.

Distance-time equation is needed to compute the speed

$Speed\:=\:\frac{distance}{time}\:$

Let distance be denoted as d, and time be denoted as t

• d = $y_{2} -y_{1}$

$d=20 - 15 = 5$

• t = $x_{2} -x_{1}$

t= 8 - 0 = 8

As

• $Speed\:=\:\frac{distance}{time}\:=\frac{d}{t}$

$Speed = \frac{5}{8}$

$Speed = 0.625$

Hence, the speed in the part 1 would be $0.625$ $ms^{-1}$

Part 4) How long does it take Mrs. Washington to get home? How did you know this?

• After carefully observing the graph, it sounds clear that Mrs. Washington takes 32 minutes to reach home.

• It can be easily figured out from the graph that it represents the total time taken throughput the complete journey.

Keywords: speed, time , distance covered

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