A student theater charges $8.50 per ticket. a) The Theater has already sold 70 tickets. How many more tickets does the theater need to sell to earn at least $750?

b) The theater increased the ticket price by $1. Without solving the inequality, describe how this affects the total number of tickets needed to earn at least $750. Explain your reasoning.

A) 680

B) if the theater charges more per ticket, then they can sell fewer tickets to reach their goal of $750.

Step-by-step explanation:

A) 8.50x +70 = 750

x=80

8.50(80)+70=750

yes

step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."