Question

Can someone help me please?

Answer 1

1) yes. the constant rate of change is 3/1

2) no

3) yes. constant change is 2/1

Answer 2

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

Step-by-step 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  |  $\frac{3}{4}$

4  |  $1\frac{1}{2}$

6  |  $2\frac{1}{4}$

8  |  3

If you change the fractions into decimals:

$\frac{3}{4}$ = 0.75

$1\frac{1}{2}$ = 1.5

$2\frac{1}{4}$ = 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

$\frac{0.75}{2}$ = 0.375

This would be your rate of change!