The cost for x number of students to attend an after school sporting event can be represented bu the functon c(x). if c(124) = 558, select the following statements that are true. 1. 124 students paid to attend the event. 2. 558 students paid to attend the event. 3. the cost for one student to attend the event cannot be determined. 4. the cost for one student to attend the event is $4.50. 5. the event generated $124 from student revenue. 6. the event generated $558 from student revenue.

C(x) represents the cost of x students

x represents the no. of students

We are given that C(124) = 558

So, on comparing C(124)=558 = Cost of 124 students

x = 124 (No. of students )

1.  124 students paid to attend the event- True

2. 558 students paid to attend the event.- False

Since 558 is the cost of 124 students

3. The cost for one student to attend the event cannot be determined.- False

It can be determined by total cost of x students divided by no. of students (x)

4. The cost for one student to attend the event is $4.50. - True

Cost of 124 students = 558

Cost of 1 student =

Cost of 1 student = 4.50

5 .The event generated $124 from student revenue.- False

6 .The event generated $558 from student revenue. - True

- "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."