Atheater where a drug abuse program is being presented seats 150 people. the proceeds will be donated to a local drug information center. admission is $2.00 for adults and $1.00 for students. every two adults must bring at least one student. how many adults and students should attend in order to raise the maximum amount of money?

there should be at least 100 adults and 50 students because if there are 100 hundred adults- that means there would be 1 student per 2 adults giving you 100 adults and 50 student equaling a total of 150 seats which is the max seats the theater can hold and that would raise

$2.00 x 100 = $200.00

$1.00 x 50 = $50.00

$200.00 + $50.00 = $250.00

$250.00 is the max amount of money the program can make and to make that $250.00--- 100 adults and 50 students would have to attend

- "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."