Question

I need some assistance choosing which of this graphs in multiple choice the answer is.

Answer 1

b)

Consider the given function,

`C(x)=0.5x+23`

Now, observing all the graphs, note that the 7th mark on the vertical axis is 35. It means that each step on y-axis denots 5 units.

Similarly, observe that the 12th mark on the horizontal axis is 12. It means that each step on x-axis ddenotes 1 unit.

Put x=0 in the function,

`\begin{gathered} C(0)=0.5(0)+23 \\ C(0)=0+23 \\ C(0)=23 \end{gathered}`

It means that the correct graph will have y=23 corresponding to x=0 i.e. on y-axis.

Since 23 lies between 20 and 25, so the line must intersect the vertical axis somewhere between 4th and 5th step.

By this logic, options A and C are ruled out.

Now, put x=10 in the function,

`\begin{gathered} C(10)=0.5(10)+23 \\ C(10)=5+23 \\ C(10)=28 \end{gathered}`

Observe that corresponding to the value x=10, the correct should have a value 28 that is, above the 5th step but below the 6th step.

By this logic, option D is also ruled out.

Therefore, it can be concluded that option B is the correct choice.