Question

Mrs. Jameson paid $202.50 for a group of 9 students to visit an amusement park. Part A: Write an equation relating the total cost y and the number of students x attending the park. B: What would be the total cost if four more students wanted to join the group?

Answer 1

The equation to relate the total cost and the number of students would be:

`C_(total)=C_(student)\cdot x`

Where C is the cost, and x the number of students

If Mrs. Jameson paid a total of $202.50 for 9 students, we can find out how much does the visit costs for each student:

`\begin{gathered} 202.50=C_(student)\cdot9 \\ C_(student)=(202.50)/(9)=22.50 \end{gathered}`

So the equation for x number of students is:

`C_(total)=22.50\cdot x`

That's answer for part A

For part B we just have to put x = 9 +4 (four more students than before)

`C_(total)=22.50\cdot13=292.5`

The total cost for 13 students is $292.50