Question

which functions have an additive rate of change of 3? check all that apply



the very first line graph, and the last 2. meaning A, E and F. just took the test

Answer 1

Answer: Table 2 and table 3 are the functions which have an additive rate of change of 3.

Step-by-step explanation:

The rate of change of a linear function is given by:-

$R=\frac{y-2-y_1}{x_2-x_1}$

For table 1,

$\\\Rightarrow\ R=\frac{-9-(-3)}{4-2}\\=\frac{-9+3}{2}\\=\frac{-6}{2}\\=-3$.....> which is not positive.

For table 2,

$\\\Rightarrow\ R=\frac{-1-(-4)}{3-2}\\=\frac{-1+4}{1}\\=\frac{3}{1}\\=3$.....> which is positive.

For table 3,

$\\\Rightarrow\ R=\frac{10-1)}{5-2}\\=\frac{9}{3}\\=3$.....> which is positive.

Hence, Table 2 and table 3 are the functions which have an additive rate of change of 3.

Answer 2

The functions that have an additive rate of 3 are tables 2 and 3

The rate of a linear function is calculated as:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

For the first table, we have the following points

(x,y) = (2,-3) and (4,-9)

So, the rate is:

$m = \frac{-9 + 3}{4- 2}$

$m = -3$

For the second table, we have the following points

(x,y) = (2,-4) and (3,-1)

So, the rate is:

$m = \frac{-1 + 4}{3 - 2}$

$m = 3$

For the third table, we have the following points

(x,y) = (2,1) and (5,10).

So, the rate is:

$m = \frac{10-1}{5 - 2}$

$m = 3$

Hence, the functions that have an additive rate of 3 are tables 2 and 3

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