Question

according to a website where users review their doctors, 116 out of 119 website users are representative of dr. gutierrezs 1,293 patients, about how many patients would recommend dr. gutierrez to their friends and family? (round your answer to the nearest whole number.) show calculator how do i enter a student - produced response on the sat? show me!

Explanation:

Step1: Set up proportion

Let \( x \) be the number of patients who would recommend. The proportion is \( \frac{116}{119}=\frac{x}{1293} \).

Step2: Solve for \( x \)

Cross - multiply: \( 119x = 116\times1293 \). Then \( x=\frac{116\times1293}{119} \).
Calculate \( 116\times1293 = 116\times(1300 - 7)=116\times1300-116\times7=150800 - 812 = 149988 \).
Now \( x=\frac{149988}{119}\approx1260.4 \).

Answer:

\( 1260 \)