Jose starts with $250 and spends $25 a week. Martin starts with $30 and saves $30 a week. When do Jose and Martin have the same amount of money? Use x for time and y for saving.

4 weeks, Jose and Martin will have the same amount of money in 4 weeks which is $150 each

Step-by-step explanation:

Jose:

y = -25x +250

Martin:

y=30x+30

Substitute x= 6 into the two equations

Jose:

y = -25(6) + 250

= -150+250

y = 100

Martin:

y = 30(6) +30

=180+30

y = 2100

Substitute x=4 into the two equations

Jose:

y = -25(4) + 250

=-100+250

y = 150

Martin:

y = 30(4) + 30

=120+30

y = 150

- "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."

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.