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Find the difference between the cost of 2 line ad and the cost of a 3 line ad.

Find the difference between the cost of 2 line ad and the cost of a 3 line ad.-example-1
User Dieguinho
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1 Answer

22 votes
22 votes

The piecewise function is given to be:


a(x)=\begin{cases}45,\text{ when }x\le3 \\ 45+9(x-3),\text{when }x>3\end{cases}

QUESTION A

For a 2 line ad, the first equation will be used. Therefore:


a(2)=45

For a 3 line ad, the first equation will be used. Therefore:


a(3)=45

Therefore, the difference is:


a(3)-a(2)=45-45=0

The difference is 0.

QUESTION B

For a 10 line ad, we will use the second equation:


a(x)=45+9(x-3)

At x = 10,


\begin{gathered} a(10)=45+9(10-3)=45+9(7) \\ a(10)=45+63=108 \end{gathered}

The cost of a 10 line ad is 108.

QUESTION C

For an 11 line ad, we will use the second equation.

At x = 11,


\begin{gathered} a(11)=45+9(11-3) \\ a(11)=117 \end{gathered}

The cost of an 11 line ad is 117.

User Nikhil Kinkar
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