Answer:
• (a)It costs $77.50 to buy five tickets.
,• (b)You can by 8 tickets with $130.
Explanation:
The cost (in dollars) of buying x tickets to the orchestra is given by the formula:
[tex]C\left(x\right)=17.5x-10[/tex](a)When the number of tickets, x=5
[tex]\begin{gathered} C\left(5\right)=17.5(5)-10 \\ =87.5-10 \\ =\$77.50 \end{gathered}[/tex]It costs $77.50 to buy five tickets.
(b)When the cost, C(x)=$130
[tex]\begin{gathered} C(x)=17.5x-10 \\ 130=17.5x-10 \\ \text{ Add 10 to both sides of the equation} \\ 130+10=17.5x-10+10 \\ 140=17.5x \\ \text{ Divide both sides by }17.5 \\ \frac{140}{17.5}=\frac{17.5x}{17.5} \\ x=8 \end{gathered}[/tex]You can by 8 tickets with $130.
