# Lesson Worksheet: Step Graphs Mathematics

In this worksheet, we will practice identifying and analysing step graphs and to draw conclusions about the data.

**Q1: **

The given step graph represents the annual increase per fixed salary in a company.

Find the annual increase for an employee who has a salary of Β£1,500.

**Q2: **

The step graph shown represents the cost of renting a bike as a function of the rental period.

If James wants to rent a bike for 2 hours, how much will it cost him?

**Q3: **

The given step graph represents the number of children in a day care center on each day in a given month.

How many children are there in the day care center on the Β day?

**Q4: **

The given step graph shows the activities Ethan does in his day.

What is Ethan doing at 09:00?

- APracticing sports
- BHaving dinner
- CPlaying football
- DTaking a shower
- EStudying

**Q5: **

The given step graph shows the times when trainees should go to a club for swimming training according to their ages.

If a trainee is 3 years old, when should they go to the club for the swimming training?

- A8 am
- B12 pm
- C10 am
- D4 pm
- E2 pm

**Q6: **

Which of the following tables corresponds to the given graph?

- A
2 4 6 8 10 - B
2 4 6 8 10 - C
2 4 6 8 10 3 7 10 14 17 - D
2 4 6 8 10 - E
2 4 6 8 10

**Q7: **

The given step graph represents the discount on purchases in a market.

If Benjamin made purchases for Β£600, what would his discount percentage be?

**Q8: **

The given step graph shows the cost of parking a car in a mallβs parking lot.

If Natalie stays in the mall for 2 hours, how much will it cost her to park her car?

**Q9: **

Which of the following step graphs represents the given table?

10 | 20 | 30 | 40 | |

- A
- B
- C
- D
- E

**Q10: **

The function , where , takes a nonnegative real number and rounds it to the nearest whole number. For example, , , and . Which of the following is the graph of ?

- A(d)
- B(a)
- C(c)
- D(b)