Question

Could you help me with this linear patterns practice 2

Answer 1

Start value b = 0

Rate of change k = 3

Relation: 1:3

Explanation:

We can calculate rate of change as follows:

`k=(f(x_2)-f(x_1))/(x_2-x_1)`

We substitute for the points (1,3) and (5,15)

`k=(15-3)/(5-1)=(12)/(4)=3`

The starting value b, we calculate it like this:

`\begin{gathered} y=kx+b \\ 15=3\cdot5+b \\ b=15-15 \\ b=0 \end{gathered}`

Therefore, when x = 49, the value of y would be:

`\begin{gathered} y=3\cdot49+0 \\ y=147 \end{gathered}`