+) Tickets to the spring festival are being sold online. The ticket price is $8 per person. The expression 8t + 2 represents the total cost for t tickets, including a $2 service fee.
) What does the term 8t represent?
*) the price of the tickets
) the service fee
) the number of tickets
*) the total cost, including the service fee

What does the term 8t represent? the cost of each ticket combined.

The price of the tickets? 8$

The service fee? 2$

The number of tickets? t

The total cost, including the service fee? 8 * t + 2 = (8t) + 2.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4