Answer:
Look at the explanation.
Explanation:
Firstly, the question asked us to find the 'the rate of change' which is also referred to as a the slope. The slope formula is:
. However, to find the slope, we need to two coordinate. Let us go through this one by one.
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1. Let us get two coordinate from the table. For instance, let's choose the coordinates: (2, 12) and (6, 36). And now, since we have the two coordinates, we could solve for the slope.
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What we know:
The two coordinate: (2, 12) and (6, 36)
The slope formula is:
.
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Now, let's substitute and solve:
1)
2)
3)
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Now, we can conclude that the rate of change(slope) is 6.
2. Same thing here. Let us choose two points from this table. So, for instance: (5, 16) and (15, 48)
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What we know:
The two coordinate: (5, 16) and (15, 48)
The slope formula is:
.
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Now, let's substitute and solve:
1)
2)
3)
(in a decimal form, 3.2)
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We can conclude, here, that the rate of change(slope) is
or
(in a decimal form)
Hope this helps, good luck!