Shirts with a school's mascot were printed, and the table shows the number of people who bought them the first, second, third, and fourth weeks after their release. Which graph could represent the data shown in the table?

1 | 22
2 | 50
3 | 62
4 | 75

Shirts with a schools mascot were printed and the table shows the number of people who bought them the first second third and fourth weeks after their release W class=
Shirts with a schools mascot were printed and the table shows the number of people who bought them the first second third and fourth weeks after their release W class=
Shirts with a schools mascot were printed and the table shows the number of people who bought them the first second third and fourth weeks after their release W class=
Shirts with a schools mascot were printed and the table shows the number of people who bought them the first second third and fourth weeks after their release W class=

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Answer: Refer to picture

Explanation: as the weeks go on, the number of sales increase. This means it has to be positively skewed, so graphs with the dots lower as it moves to the right can be knocked out

This leaves us with 2, since the rate of change in sales isn’t linear (22 -> 44 ->66) and is instead quicker at the start, it is not the straight graph, must be the curved one
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The graph that represents the set of points is required.

The second option is correct.

The points are

[tex](1,22)[/tex]

[tex](2,50)[/tex]

[tex](3,62)[/tex]

[tex](4,75)[/tex]

If the relationship is linear then the slope of the points will be equal.

[tex]m=\dfrac{\Delta y}{\Delta x}[/tex]

[tex]\dfrac{50-22}{2-1}=\dfrac{62-50}{3-2}=\dfrac{75-62}{4-3}\\\Rightarrow 28\neq 12\neq 13[/tex]

The slopes are not equal so it will not be linear.

So, the first and last options are incorrect.

The graph of the given relation is increasing so the third option is incorrect.

So, the second option is correct.

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