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Worksheet: Rates of Change from Tables

Q1:

The table shows Sophia’s height at ages 10 and 15. Find the rate of change, in inches per year, of her height between these ages.

Height (in) 53 67
Age (yr) 10 15
  • A 1 5 6 7 inches per year
  • B 1 0 5 3 inches per year
  • C 5 1 4 inches per year
  • D 2 4 5 inches per year
  • E 5 3 1 0 inches per year

Q2:

Using the information in the given table, determine the rate of change in the number of seeds for every orange, and express your answer as a fraction.

Number of Oranges 3 5 7
Number of Seeds 54 90 126
  • A 1 2 1
  • B 1 1 8
  • C 1 1 2
  • D 1 8 1
  • E 3 6 5

Q3:

Which of the following interprets the rate of change of the data in the table?

Remaining Gas (gal) 19 14 9 4
Miles Driven 0 100 200 300
  • Aa decrease of 19 gallons per 100 miles
  • Ba decrease of 5 gallons per 50 miles
  • Ca decrease of 19 gallons per 50 miles
  • Da decrease of 5 gallons per 100 miles
  • Ea decrease of 5 gallons per 100 miles

Q4:

The table shows the value of a company’s stock over a 5-day period. Determine the rate of change (dollars per day) between day 1 and day 3.

Value ( $ ) 40.23 45.55 49.87 41.21 45.62
Day 1 2 3 4 5

Q5:

A video-on-demand service offers different streaming plans as shown in the given table. Determine, to the nearest cent, the rate of change in cost per minute of video streaming.

Cost $42 $58 $74 $90 $106
Minutes of Video Streaming 5 000 5 500 6 000 6 500 7 000

Q6:

Using the given table, determine the rate of change in temperature.

Time (in hours) 1:00 PM 2:00 PM 3:00 PM 4:00 PM
Temperature (in degrees) 55 59 63 67