The graph shows the cost of sending parcels of various weights overseas:
Find the cost of sending a letter weighing:
100 \text{ g}
300 \text{ g}
125 \text{ g}
Find the heaviest letter that can be sent for \$2.
Find the heaviest letter that can be sent for \$4.
Write an inequality for the range of letter weights that can be sent for \$4.
The graph shows the parking costs over different lengths of time:
Find the cost of 5 hours of parking.
Find the cost of 6 hours of parking.
Calculate the total cost of 6 hours of parking each day for 5 days.
The carpark offers a weekly pass for \$44. If Aaron parks his car for 6 hours each day, five days a week, how much does he save each week with the weekly pass?
The graph shows the amount (in dollars) an internet cafe charges its customers:
How much does a customer have to pay if they use the internet service for 2 hours and 40 minutes?
How much does a customer have to pay if they use the internet service for 4 hours?
Find the maximum number of hours that a customer can purchase for \$15.
The graph shows the starting times of a shot put event for participants of different age groups:
Determine the time a participant who is aged 7 will start their event.
Determine the time a participant who is aged 13 will start their event.
Determine the time a participant who is aged 16 will start their event.
Do any of the events start at half past the hour?
The graph shows the total cost of parking (in dollars) as a function of the number of hours parked:
Find the maximum number of hours you can park for free.
Janet goes to a movie and parks for 2.5 hours. How much will it cost her?
Connor works at the cinemas and parks for his entire 4.5 hour shift. How much will it cost him in parking?
The graph shows the amount (in dollars) a lawyer charges for consultations:
How much does the lawyer charge for a 3 hour consultation?
How much does the lawyer charge for a 5.5 hour consultation?
How much does the lawyer charge for a 4 hour consultation?
Determine the shortest possible consultation time for which the lawyer will charge \$800.
The graph shows the cost per t-shirt (in dollars) when purchasing in bulk:
Find the cost per t-shirt when 45 t-shirts are bought in bulk.
Find the cost per t-shirt when 55 t-shirts are bought in bulk.
Find the maximum number of t-shirts that can be purchased at \$7.00 each.
The graph shows the cost (in dollars) of a mobile phone call as a function of the length of the call:
Find the cost of a 4 minute and 5 second call.
Find the cost of a 3 minute call.
Find the longest possible call that could be made for \$1.50.
The step graph shows the cost (in dollars) for postage of packages based on their weight:
Find how much it will cost to post a package that weighs:
1.7\text{ kg}
2.5\text{ kg}
0.5\text{ kg}
3.2\text{ kg}
If Neil has \$11, what range of package weights that he can afford to send?
What range of package weights can be sent for:
The cost of a train ticket, based on distance travelled, is indicated by the step graph:
If Valentina needs to travel a distance of 11\text{ km}, how much does her train ticket cost?
Luke has a doctor's appointment 19\text{ km} away. Calculate the cost of a one way ticket.
Hence, calculate the cost of Luke's round-trip ticket.
Sally needs to travel 4\text{ km} to get to the grocery store. Calculate the cost of a one way ticket.
Maria commutes approximately 40\text{ km} each direction every weekday to work. The cost of a train ticket, based on distance travelled, is indicated by the step graph:
How much does her one way ticket cost?
How much does her daily round-trip ticket cost?
Hence, how much is the ticket cost for the five days of travel?
The step graph shows the charges for a home phone plan:
How much will a 3 minute phone call cost?
How much will a phone call longer than 1 minute but less than 2 minutes cost?
Calculate the cost of 4 phone calls, each longer than 1 minute but less than 2 minutes.
The step graph shows the charges for a home phone plan. Hamish made 12 calls that were just under 2 minutes each, 13 calls just under 4 minutes each, and 5 calls of less than 1 minute each.
How much will each of the following phone calls cost?
A call just under 2 minutes long.
A call just under 4 minutes long.
A call just under 1 minute long.
How much will each of the following cost?
12 calls just under 2 minutes each.
13 calls just under 4 minutes each.
5 calls less than 1 minute each.
Hence, calculate the total cost for the calls Hamish made.
A telephone call is charged at \$0.70 for a call length of less than 1 minute, and \$0.20 extra per minute after that. Create a step graph that shows the cost of calls up to 5 minutes in length.
The cost of a train fare is calculated at \$1.30 for the first zone and then 20 cents per additional zone after that. Create a step graph that shows the fares for trips up to five zones.
Hiring helium tanks for balloons at a party costs \$20 up to and including the first hour, and \$5 per extra hour or any part thereof.
Create a step graph displaying the total cost of hiring helium tanks for up to five hours.
A plumber charges a call-out fee of \$20 to come out to the site and on top of that, charges \$10 per 15 minute block on site or part thereof. Create a step graph that matches this scenario.
Consider the following table and create a step graph for the charge for sending parcels:
\text{Express Post satchels (mm)} | \text{Maximum weight (g)} | \text{Charge per item} |
---|---|---|
\text{Small } (220\times 355) | 500 | \$2.50 |
\text{Medium } (310\times 405) | 3000 | \$4.25 |
\text{Large } (435\times 510) | 5000 | \$7.75 |
A hotel charges the following rates for hiring out their function room:
\$160 per hour for up to 2 hours inclusive.
\$120 per hour for more than 2 hours and up to 5 hours inclusive.
\$80 per hour for more than 5 hours and up to 10 hours inclusive.
Create a step graph that shows the amount charged per hour for the length of time the function room is booked.
At an indoor ski facility, the temperature is set to - 5 \degree \text{C} at 2 pm. At 3 pm, the temperature is immediately brought down to - 12 \degree \text{C} and left for 3 hours before immediately taking it down again to - 18 \degree \text{C}, where it stays for the rest of the day’s operation. The facility operates until 10 pm.
Complete the stepwise function that models the indoor temperature, y, at a certain time of the day, x hours after midday:
y = \begin{cases} -5\degree \text{C}, & ⬚ \leq x \lt 3 \\ ⬚\degree \text{C}, & 3 \leq x \lt 6 \\ ⬚\degree \text{C}, & 6 \leq x \leq ⬚ \end{cases}Create a graph of the step function.
Lakota entered the ski facility at 3:30 pm. What was the temperature inside the facility at this time?
Xavier wants to wait till the indoor temperature is - 7 \degree \text{C} or lower. When is the earliest he can enter the facility?