Question

What is the initial value & rate of change of the table

Weeks. Dollars
0. 10
2 20
4 30
6 40

Answer 1

take two points : (0, 10), (2, 20)

rate of change:

`\rightarrow \sf (y_2-y_1)/(x_2-x_1)`

`\rightarrow \sf (20-10)/(2-0)`

`\rightarrow \sf 5`

equation :

y - 10 = 5 ( x - 0 )

y = 5(x) + 10

so initial value:

y = 5(0) + 10

y = 10

Answer 2

y = 10

rate of change = 5

Explanation:

The initial value is the beginning output value, i.e. the y-value when x = 0

Therefore, the initial value is y = 10

rate of change = change in y ÷ change in x

⇒ rate of change = (40 - 30) ÷ (6 - 4)

= 10 ÷ 2

= 5