Percent change

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

Question

In a classroom experiment, a bean seedling measured 16 cm tall on Monday and 22 cm tall on Friday. What was the percent increase in the seedling's height?

  1. 6%✗ Incorrect

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

  2. 27.3%✗ Incorrect

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

  3. 37.5%✓ Correct

    Correct. Percent change = (new − old) ÷ old × 100 = (22 − 16) ÷ 16 × 100 = 37.5%.

  4. 137.5%✗ Incorrect

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

Answer

C. 37.5%

Rationale

Monday's height is the starting point, so the growth is divided by 16, not by 22. After finding how much the seedling grew and dividing by its starting height, multiply by 100 to express the change as a percent.

Worked solution: Percent change = (new − old) ÷ old × 100 = (22 − 16) ÷ 16 × 100 = 37.5%.

RememberDivide the change by the starting value, then multiply by 100 to get the percent increase.

Sources

  • DOE-HDBK-1014/1-92 U.S. Department of Energy · License: US government work (public domain) · Retrieved · Page 80
  • 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
  • State Operations Manual Centers for Medicare & Medicaid Services · License: US government work (public domain) · Retrieved · Page 401
  • Obesity (MedlinePlus health topic) MedlinePlus, National Library of Medicine · License: US government work (public domain) · Retrieved · Summary: Obesity

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