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Question

The graph below shows a relationship between the number of items sold with respect to time (in min).
For which parts the sales number is increasing with respect to time?

A
B, E
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B
A, C
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C
D, F
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D
C, D
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Solution

The correct option is B A, C

Let's consider Part A of the graph:
Time (in min) Number of items sold
0 0
1 5

Number of items sold increases with respect to time.

Hence, Part A of the graph represents an increasing function.

Let's consider Part B of the graph:
Time (in min) Number of items sold
1 5
2 5

Number of items sold is constant with respect to time.

Hence, Part B of the graph represents a constant function.

Let's consider Part C of the graph:
Time (in min) Number of items sold
2 5
3 10

Number of items sold increases with respect to time.

Hence, Part C of the graph represents an increasing function.

Let's consider Part D of the graph:
Time (in min) Number of items sold
3 10
4 5

Number of items sold decreases with respect to time.

Hence, Part D of the graph represents a decreasing function.

Let's consider Part E of the graph:
Time (in min) Number of items sold
4 5
5 5

Number of items sold is constant with respect to time.

Hence, Part E of the graph represents a constant function.

Let's consider Part F of the graph:
Time (in min) Number of items sold
5 5
6 0

Number of items sold decreases with respect to time.

Hence, Part F of the graph represents a decreasing function.

Let's consider Part G of the graph:
Time (in min) Number of items sold
6 0
7 0

Number of items sold is constant with respect to time.

Hence, Part G of the graph represents a constant function.

Tabulating the different parts of the graph, we observe:
Part of the graph Function represented by the part
A Increasing
B Constant
C Increasing
D Decreasing
E Constant
F Decreasing
G Constant

Therefore, Part A and Part C of the graph represent increasing function.

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