Data & Graphs

Depth · one concept from first principles · step 2 of 4

Read max, min, and gridline scale from a line graph

The line graph shows the number of ice cream cones sold each day at Mia's ice cream shop. Find the difference between the number sold on the busiest day and the number sold on the slowest day.

The graph is titled "Ice Cream Cones Sold." The horizontal axis shows the day of the week (Mon, Tue, Wed, Thu, Fri), and the vertical axis shows the number of cones sold. The vertical axis is labeled 500, 600, and 700; since 5 grid squares represent 100, each grid square represents 100÷5=20100 \div 5 = 20 cones. The daily sales are: Monday 520520, Tuesday 660660, Wednesday 580580, Thursday 740740, and Friday 680680 cones.

Ice Cream Cones Sold (cones) 500 600 700 Mon Tue Wed Thu Fri
Measurement & data
Your answer
cones
How to solve
Strategy Draw a Diagram — On a line graph the highest dot is the maximum and the lowest dot is the minimum, so I read those two points off the graph and then subtract. The work splits into find-max, find-min, subtract.
1STEP 1

Find the busiest day

The highest point is Thursday, two squares above 700: 700 + 2 × 20 = 740 cones.

700 + 2× 20 = 740
2STEP 2

Find the slowest day

The lowest point is Monday, one square above 500: 500 + 20 = 520 cones.

500 + 20 = 520
3STEP 3

Subtract

The difference between the busiest and slowest day is 740 - 520 = 220 cones.

740 - 520 = 220
Answer
220 cones
740 - 520 = 220
740 is the highest reading and 520 the lowest, and 740 - 520 = 220, which is 11 squares of 20 cones (11 × 20 = 220) - consistent with the grid. The difference is less than either total, as a difference should be.
Takeaway

Highest dot minus lowest dot - just remember each square here is worth 20!

  • Find the busiest day
  • Find the slowest day
  • Subtract
Where next?
Another one like thissuggested

A parent dashboard for the family lives at sensimlab.com.

▶ Practice — 8 problems

The same shape shows up later on the AMC, as Arithmetic Expression Decomposition, Coordinate Plane Figure Computation. Why the shapes repeat →