Question

Mark charges ₱100.00 for an encoding work. In addition, he charges ₱5.00 per page of printed outpout.


a. Find a function f(x ) where x represents the number page printed out.




b.How much will Mark charge for 55-page encoding and printing work?​

Answer 1

SOLUTION

GIVEN

• Mark charges ₱ 100.00 for an encoding work.

• In addition, he charges ₱ 5.00 per page of printed output.

TO DETERMINE

a. To Find a function f(x) where x represents the number page printed out.

b. The amount will Mark charge for 55-page encoding and printing work

EVALUATION

Here it is given that, Mark charges ₱ 100.00 for an encoding work.

In addition, he charges ₱ 5.00 per page of printed output.

ANSWER TO QUESTION : 1

If x represents the number page printed out

Since Mark charges ₱ 5.00 per page of printed output

So total amount for printed output = 5x

Also Mark charges ₱ 100.00 for an encoding work.

So total charge = 5x + 100

Hence the function f(x) is given by

$\sf{f(x) = 5x + 100 \: }$

ANSWER TO QUESTION : 2

Here the function f(x) is given by

$\sf{f(x) = 5x + 100 \: }$

Now for 55-page encoding and printing work we have x = 55

So the charge

$\sf{ f(55) = (5 \times 55) + 100\: }$

$\implies \sf{ f(55) = 275+ 100\: }$

$\implies\sf{ f(55) = 375\: }$

Hence The amount will Mark charge for 55-page encoding and printing work is ₱ 375

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