Answer:
1. m = 3x
2. Possibly doesn't have a constant rate of change, because if you were to multiply 4.9 to the other coordinates/points/x values provided, you would not get the correct value for y, this means that the rate of change is not constant. Not only that but if you are to find a value that can multiply and add up to each, it would not go with the first coordinate.
3. The constant rate of change is found to be: m = 0.375
Explanation:
In the question, it is asking for the constant rate of change.
This can be found determined by the graphs:
x | y
5 | 15
8 | 24
12 | 36
24 | 72
From what is shown, on x's side, we can see that:
5 · 3 = 15
8 · 3 = 24
12 · 3 = 36
24 · 3 = 72
This means that the constant for the first graph is m = 3x.
x | y
2 |
4 |
6 |
8 | 3
If you change the fractions into decimals:
= 0.75
= 1.5
= 2.25
= 3.00
(The change is + 0.75)
0.75 + 0.75 = 1.5
1.5 + 0.75 = 2.25
2.25 + 0.75 = 3.00
(But what about multiplying it?)
It is found that 0.75 DOES NOT work with muliplying, BUT we can find the rate of change if we divide 0.75 by 2
= 0.375
This would be your rate of change!