Question

Write an equation that best describes the pattern in the table.a10150 312 424 915 821017bWrite an equation.1(Use the operation symbols in the math palette as needed. Use integers or fractions for

Answer 1

The equation that relates b to a is;

`b=2a`

Step-by-step explanation:

We want to write an equation that represent the data on the table;

The data can be represented with a linear relationship with origin (0,0), since they both start from (0,0). It can be represented by a proportional relation of the form;

`b=ka`

The constant of proportionality is the ratio of b/a;

`k=(b)/(a)`

Using the data on the table we can get k;

`\begin{gathered} k=(b)/(a)=(3)/(1(1)/(2))=(4)/(2)=2 \\ k=2 \end{gathered}`

Therefore, the equation that relates b to a is;

`b=2a`