Percent change

  • ATI TEAS
  • Math: Numbers and Algebra
  • Multiple choice
  • Difficulty 3 of 5

Question

A city bike-share program recorded 2,400 rides in April and 3,000 rides in May. By what percent did the number of rides increase from April to May?

  1. 20%✗ Incorrect

    Incorrect. This answer divides by the new value instead of the original value.

  2. 25%✓ Correct

    Correct. Percent change = (new − old) ÷ old × 100 = (3,000 − 2,400) ÷ 2,400 × 100 = 25%.

  3. 125%✗ Incorrect

    Incorrect. This answer gives the new value as a percent of the old value.

  4. 600%✗ Incorrect

    Incorrect. This answer gives the raw difference instead of a percent.

Answer

B. 25%

Rationale

Percent change compares the size of the change with the starting amount. Subtract the April count of 2,400 from the May count of 3,000, divide that difference by the April count, and multiply by 100. Dividing by the newer, larger count would understate the increase.

Worked solution: Percent change = (new − old) ÷ old × 100 = (3,000 − 2,400) ÷ 2,400 × 100 = 25%.

RememberPercent change = (new − old) ÷ old × 100; always divide by the original value.

Sources

  • DOE-HDBK-1014/1-92 U.S. Department of Energy · License: US government work (public domain) · Retrieved · Page 78
  • Guide for the National Institute of Standards and Technology · License: US government work (public domain) · Retrieved · Page 32
  • State Operations Manual Centers for Medicare & Medicaid Services · License: US government work (public domain) · Retrieved · Page 401
  • Lesson 3: Measures of Risk (Source: CDC) Centers for Disease Control and Prevention (CDC) · License: CDC content (credit required) · Retrieved · Vaccine efficacy or vaccine effectiveness; EXAMPLE: Calculating Vaccine Effectiveness

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