There are 1200 students enrolled in four allied health programs at a local community college. The percent students in each program are displayed in the pie chart. Which of the following is the number of students enrolled in the radiologic technology program?

A. 216

B. 504

C. 228

D. 252

Answer Explanation:

We are asked to find the number of students enrolled in the radiologic program using the information provided on the pie chart.

If we let x represent the number of students enrolled in the radiologic program, we set a proportion equation with number of students on the numerator and percentages on the denominator.

Total percent in the pie chart adds to 100%, which equals 1200 students. Then, 21% will represent

We solve the value of x by cross-multiplying the equation above.

Therefore, 252 students will enroll for a radiologic program.

Therefore, the Correct Answer is D.

Q #1: As the dollar rate increases in a day, the amount of investment, stock prices, and forex exchange deposit available also decreases. Which of the following is the independent variable?

A. Amount of investment

B. Dollar rate

C. Stock prices

D. Forex exchange deposit

Answer Explanation

Based on the given scenario, the outcome of measuring the daily dollar rate is the decline in investment, stock prices, and forex exchange. The three outcomes are dependent variables while the dollar rate is the independent variable.
Q #2: A recipe calls for 2/9 cup of flour for every 1 2/5 cup of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?

A. 12 1/5 cups

B. 12 3/5 cups

C. 8 1/25 cups

D. 10 3/25 cups

Answer Explanation

The number of cups of milk to make a bigger batch, we proceed as follows:

First convert the mixed number 1 2/5 as

Then, we let the unknown number of cups of milk to be x and we set a proportion equation with number cups of floor as numerator and cups of milk as denominator

Find the value of x by cross-products

2 as a fraction is 2/1 which is then used to find the product of the numerator as follows.

Per means division. The above equation becomes

When dividing fractions, we multiply the first fraction with the reciprocal of the second. The reciprocal of 2/9 is 9/2. Thus

The numbers of cups of milk required is 63/5, which when converted to mixed fraction becomes 12 3/5.
Q #3: A person weighed themselves at 153 lb. Five months later they weighed themselves at 120 lb. Which of the following is the percent of weight the person lost over 5 months? (Round to the nearest percent.)

A. 38%

B. 22%

C. 19%

D. 29%

Answer Explanation

The percentage change in weight is found in three steps below:

Absolute change in weight=final weight-initial weight

Absolute change in weight= (left|120-153 ight|=left|-33 ight|=33)

Relative change in weight= (frac{absolute change}{initial weight}=frac{33}{153}=0.216)

Percent change=relative change * 100%

Percent change=0.216*100%=21.6%

The percent change in weight lost is 21.6 %, which is about 22%.