A dance club hires two different DJ’s to play music on a Friday night. The hip hop
DJ charges $100 per hour, while the rap DJ
charges $50 per hour. The club can spend
a maximum of $800, and they want both
types of music played.
Let “x” represent the number of hours of
hip hop and let “y” represent the number
of hours of rap.

The expression is 100x + 50y ≤ 800.

Step-by-step explanation:

The hip hop DJ charge for $100 per hour. Let x be number of hours of hip hop :

For rap DJ, the charge is $50 per hour. Let y be the number of hours of rap :

Given that both DJs spend a maximum of $800. So the final expression is :

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.