In 2005, 120 students at Lincoln High School had smartphones. By 2010, 345 students in the same school had smartphones. Which of the following best describes the annual rate of change in the number of smartphones students had from 2005 to 2010 at Lincoln High School?

Correct answer: B. The average increase in the number of smart phones per year is 45

  • A. The average increase in the number of smartphones per year is 40
  • B. The average increase in the number of smart phones per year is 45
  • C. The average increase in the number of smartphones per year is 50
  • D. The average increase in the number of smartphones per year is 55

Explanation

To determine the annual rate of change, calculate the difference in the number of students with smartphones from 2005 to 2010, which is 345 - 120 = 225. Then, divide this difference by the number of years (5) to find the average annual increase. Thus, 225 divided by 5 equals 45. Therefore, the average increase in the number of smartphones per year is 45, making Option B the correct choice. Options A, C, and D are incorrect because they result in average increases that do not match the calculated result.

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