Line graphs questions with answers

Questions

1. Question 1Read a value

   The line graph shows the monthly sales of a bubble tea shop. Find the sales in Apr.

   Show the worked solution

   1. Step 1: Work out what one small division stands for. Go up from Apr to the line, then across to the axisAt Apr, the sales was $6$ thousand cups.
2. Question 2The change between two times

   The line graph shows the visitors to a museum. Find the decrease in the number of visitors from Sat to Sun.

   Show the worked solution

   1. Step 1: Work out what one small division stands for, then read both pointsSat: $60$; Sun: $40$
   2. Step 2: Subtract the smaller from the larger$60 - 40$$= 20$
3. Question 3The greatest increase

   The line graph shows the visitors to a museum. Between which two consecutive times on the graph was the increase in the number of visitors the greatest?

   Show the worked solution

   1. Step 1: Work out the change over each interval (a steeper upward line is a bigger increase)Mon to Tue: $110 - 90 = 20$Tue to Wed: $90 - 110 = -20$Wed to Thu: $120 - 90 = 30$Thu to Fri: $100 - 120 = -20$Fri to Sat: $140 - 100 = 40$Sat to Sun: $150 - 140 = 10$
   2. Step 2: Pick the greatest increaseThe greatest increase was from Fri to Sat.
4. Question 4Percentage increase

   The line graph shows the visitors to a museum. Find the percentage increase in the number of visitors from Fri to Sun.

   Show the worked solution

   1. Step 1: Read both points and find the increase$\text{Increase} = 80 - 20$$= 60$
   2. Step 2: Percentage increase: divide by which value, then multiply by 100%?$\dfrac{60}{20} \times 100\%$$= 300\%$