Paul has decided to set up his own recording studio. he needs to purchase four speakers at $435 apiece and two mixers at $772 apiece. he also needs to soundproof a room, which will cost him $838. if paul has $4,500 in his savings account, how close can he come to setting up his studio? a. paul can set up his studio and have $378 left over. b. paul can set up his studio and have $410 left over. c. paul needs an additional $1,166 to set up his studio. d. paul needs an additional $296 to set up his studio.

(A) Paul can set up his studio and have $378 left over.

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."