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 3rdΒ 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
    𝑦246810
    π‘₯1<π‘₯<33<π‘₯<77<π‘₯<1010<π‘₯<1414<π‘₯<17
  • B
    𝑦246810
    π‘₯1<π‘₯≀33<π‘₯≀77<π‘₯≀1010<π‘₯≀1414<π‘₯≀17
  • C
    𝑦246810
    π‘₯37101417
  • D
    𝑦246810
    π‘₯1≀π‘₯≀33≀π‘₯≀77≀π‘₯≀1010≀π‘₯≀1414≀π‘₯≀17
  • E
    𝑦246810
    π‘₯1≀π‘₯<33≀π‘₯<77≀π‘₯<1010≀π‘₯<1414≀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 mall’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?

𝑦10203040
π‘₯0<π‘₯≀100100<π‘₯≀120120<π‘₯≀140140<π‘₯≀160
  • A
  • B
  • C
  • D
  • E

Q10:

The function 𝑅(π‘₯), where π‘₯β‰₯0, takes a nonnegative real number and rounds it to the nearest whole number. For example, 𝑅(0.3)=0, 𝑅(3.9)=4, and 𝑅(1.5)=2. Which of the following is the graph of 𝑅?

  • A(d)
  • B(a)
  • C(c)
  • D(b)

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