# 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
 π¦ π₯ 2 4 6 8 10 1<π₯<3 3<π₯<7 7<π₯<10 10<π₯<14 14<π₯<17
• B
 π¦ π₯ 2 4 6 8 10 1<π₯β€3 3<π₯β€7 7<π₯β€10 10<π₯β€14 14<π₯β€17
• C
 π¦ π₯ 2 4 6 8 10 3 7 10 14 17
• D
 π¦ π₯ 2 4 6 8 10 1β€π₯β€3 3β€π₯β€7 7β€π₯β€10 10β€π₯β€14 14β€π₯β€17
• E
 π¦ π₯ 2 4 6 8 10 1β€π₯<3 3β€π₯<7 7β€π₯<10 10β€π₯<14 14β€π₯<17

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 mallβs 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?

 π¦ π₯ 10 20 30 40 0<π₯β€100 100<π₯β€120 120<π₯β€140 140<π₯β€160
• 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)