Rates from graphs

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What could this graph show?

Time

A phone battery running down

Water draining from a bath

A candle burning down

Rate
How much one amount changes for every 1 of another.

What are the units of the rate?

Distance (km) against time (hours) km per hour

Find the rate.

02468020406080100HoursPay (£)560
Rate = change up ÷ change across
60÷5=£12per hour

Find the rate.

01234501020304050DaysCost (£)535
35÷5=£7per day

Find the rate.

02468020406080100HoursPay (£)560
Rate = change up ÷ change across
60÷5=£12per hour

How fast is the water draining?

01234560612182430MinutesWater (litres)624
24÷6=4litres per minute

Find the rate.

02468020406080100HoursPay (£)560
Rate = change up ÷ change across
60÷5=£12per hour

How fast is the cyclist going?

012345020406080100HoursDistance (km)360
60÷3=20km per hour

Find the rate.

02468020406080100HoursPay (£)560
Rate = change up ÷ change across
60÷5=£12per hour

How fast does the battery drain?

02468020406080100HoursBattery (%)440
40÷4=10% per hour

Find the rate.

02468020406080100HoursPay (£)560
Rate = change up ÷ change across
60÷5=£12per hour

Find the cost per mile.

02468048121620MilesCost (£)816
16÷8=£2per mile

Rates from graphs worksheet, page 1

Answer sheet

  1. A phone has 80% charge at 9 am and 44% at 1 pm, falling at a steady rate. When will it reach 8%?

    5 pm

  2. Taxi A charges £3 plus £1.50 per mile. The graph for taxi B goes through (0, 0) and (4, 9). Which is cheaper for 10 miles?

    Taxi A

  1. Find the rate in pounds per hour.

    £7.50 per hour
    012345102030400HoursCost (£)

  2. How fast is the volume falling?

    4 litres per minute
    024681020300MinutesLitres

  3. A cost (£) against miles graph goes through (0, 4) and (6, 13). Find the cost per mile.

    £1.50 per mile
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