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Answer :

Answer:

a) 45 minutes

b) 100 km/hr

Step-by-step explanation:

a) It is the length of the horizontal line in the graph. It extends from 14:45 to 15:30 and that is 45 minutes.

b) Andy travels 50 km in 30 minutes (=0.5 hr), that's 50/0.5 = 100 km/hr.

As per linear equation, Andy stayed his sisters house for 45 minutes.

The average speed on his journey home is 100 km/hour.

What is a linear equation?

"An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line."

As per the graph, Andy drove from his home to his sisters house.

Then he rested for a while there.

After that, he returned back to his home.

It is clear from the graph that, Andy stayed his sisters house

= (15:30 - 14:45) hours = 45 minutes

Again, from the graph, the distance between Andy and his sister's house is 50 k.m.

Andy return back to his home in

(16:00 - 15:30) hours

= 30 minutes

= 0.5 hours

Therefore, the average speed on his journey home is

[tex]= \frac{50}{0.5} km/hour\\= 100 km/hour[/tex]

Learn more about a linear equation here: https://brainly.com/question/11897796

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