Bob is packing a suitcase to take on an airplane. A suitcase and its contents can weigh at most 50 pounds before the airlines charge extra fees. Bob's suitcase weighs 10 pounds when it is empty, so he can put 40 pounds of clothes in the suitcase. Bob's shirts weigh 0.5 pounds each and his pants weigh 2 pounds each. **
Write an equation that would model how many pounds of clothing Bob can pack.

Rewrite the equation to model the number of pants Bob can pack in terms of the number of shirts.

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.

- "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."