134k views
2 votes
I need some assistance choosing which of this graphs in multiple choice the answer is.

I need some assistance choosing which of this graphs in multiple choice the answer-example-1

1 Answer

1 vote

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.

User Ramsesoriginal
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories