Question

The formula C(x)=17.5x-10 represents the cost (in dollars) of buying x tickets to the orchestra with a $10 coupon.A) How much does it cost to buy five tickets B) How many tickets can you buy with $130?

Answer 1

• (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:

`C\left(x\right)=17.5x-10`

(a)When the number of tickets, x=5

`\begin{gathered} C\left(5\right)=17.5(5)-10 \\ =87.5-10 \\ =\$77.50 \end{gathered}`

It costs $77.50 to buy five tickets.

(b)When the cost, C(x)=$130

`\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 \\ (140)/(17.5)=(17.5x)/(17.5) \\ x=8 \end{gathered}`

You can by 8 tickets with $130.