Question

Can y’all please help with number 1 and 2?

Answer 1

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:
`m =(y2-y1)/(x2-x1)`. 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:
`m =(y2-y1)/(x2-x1)`.

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Now, let's substitute and solve:

1)
`m = (36-12)/(6-2)`

2)
`m =(24)/(4)`

3)
`m = 6`

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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:
`m =(y2-y1)/(x2-x1)`.

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Now, let's substitute and solve:

1)
`m=(48-16)/(15-5)`

2)
`m = (32)/(10)`

3)
`m = (16)/(5)` (in a decimal form, 3.2)

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We can conclude, here, that the rate of change(slope) is
`(16)/(5)` or
`3.2` (in a decimal form)

Hope this helps, good luck!