Question

marie and jorge are both trying to lose weight. after 3 months they compared their weight loss. marie’s weight went from 175 to 150. jorge’s weight went from 190 to 180. which statements are true regarding their weight loss? select the three options.
□ jorge’s weight change was approximately 5%.
□ marie’s weight change was approximately 14%.
□ marie had the greater percent change.
□ jorge had the greater percent change.
□ marie’s weight change was approximately 1.4%.

Explanation:

Step1: Calculate Marie's weight change

Marie's initial weight: 175, final weight: 150. Weight change: \( 175 - 150 = 25 \). Percent change: \( \frac{25}{175} \times 100 \approx 14.29\% \approx 14\% \). So "Marie’s weight change was approximately 14%" is correct.

Step2: Calculate Marie's weight change percentage (approx 1.4%? No)

Marie's percent change is ~14%, not 1.4%. So "Marie’s weight change was approximately 1.4%" is wrong.

Step3: Calculate Jorge's weight change

Jorge's initial weight: 190, final weight: 180. Weight change: \( 190 - 180 = 10 \). Percent change: \( \frac{10}{190} \times 100 \approx 5.26\% \approx 5\% \). So "Jorge’s weight change was approximately 5%" is correct.

Step4: Compare percent changes

Marie's percent change: ~14.29%, Jorge's: ~5.26%. So Marie had greater percent change. So "Marie had the greater percent change" is correct, "Jorge had the greater percent change" is wrong.

Answer:

• Marie’s weight change was approximately 14%
• Jorge’s weight change was approximately 5%
• Marie had the greater percent change