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An 8th grade class will take a trip to the museum on a school bus. The cost is$5 per student, plus $30 to park the bus in the city lot.Use a function to help you answer this question: What is the total cost if thereare either 20 or 25 students going?A. $130 or $155OB. $100 or $125C. $225D. $150 or $45



Answer :

SOLUTION

The cost per student =$5

Then let the total cost be C(n) and n be the number of students

Then required function is

[tex]C(n)=5n+30[/tex]

if the total number of student is 20, n=20

The total cost is

[tex]\begin{gathered} C(n)=5n+30 \\ C(n)=5(20)+30=100+30=130 \end{gathered}[/tex]

Then the total cost is $130

If the total number of student is 25, then n=25

The total cost becomes

[tex]\begin{gathered} C(n)=5n+30 \\ C(n)=5(25)+30=125+30=155 \end{gathered}[/tex]

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