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In this lesson, we will learn how to interpret the slope of a straight line as the rate of change of two quantities.

Q1:

Determine which of the given functions has the greatest rate of change.

(a)

(b) a function where the input is multiplied by 3 and subtracted from 4

(c)

(d)

Q2:

Find the rate of change for the following graph.

Q3:

Which of the following best describes the slope of the line on the diagram?

Q4:

The graph shows the distance covered in kilometers over a 15-hour hike. What were the fastest and slowest speeds recorded?

Q5:

Engy and Rania are playing a video game. The given functions represent the number of levels each of them has finished. Who plays better?

Q6:

At an amusement park, a booth was selling soft drinks. By 2:00 pm, 37 soft drinks were sold, and, by 4:00 pm, 69 were sold. Assuming that the booth was selling at a linear rate during this period, determine the slope of the line representing this information.

Q7:

Which of the following functions has a rate of change that is more rapid than the function shown in the graph?

Q8:

Use the graph to find out how many action figures each boy has.

Q9:

Which of the following functions has a lower rate of change?

(b) A function with an output that is equal to the input divided by 3 and added to 5.

Q10:

The scores of a class of students in their end-of-year math and physics examinations can be described by the model 𝑦 = 3 1 . 8 + 0 . 4 3 𝑥 , where 𝑥 is the score in math and 𝑦 is the score in physics. What is the interpretation of the value of 0.43 in the model?

Q11:

Find the slopes of ⃖ ⃗ 𝐴 𝐵 , ⃖ ⃗ 𝐵 𝐶 , and ⃖ ⃗ 𝐶 𝐷 .

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