In the following formula, $$ y $$ is the minimum number of hours of studying required to attain a test score of $$ x: y=\frac{0.47 x}{100.5-x} $$. How many hours of study are needed to score 89 ? A. 100.967 hr B. 36.4 hr C. 3.64 hr D. 7.158 hr

Question

UpStudy AI · Accepted Answer

We start with the given formula:

$$
y = \frac{0.47x}{100.5 - x}
$$

Substitute $$ x = 89 $$ into the equation:

$$
y = \frac{0.47 \times 89}{100.5 - 89}
$$

Calculate the numerator:

$$
0.47 \times 89 = 41.83
$$

Calculate the denominator:

$$
100.5 - 89 = 11.5
$$

Now, compute $$ y $$:

$$
y = \frac{41.83}{11.5} \approx 3.64
$$

Thus, approximately $$ 3.64 $$ hours of study are required to score 89. The correct answer is:

C. 3.64 hr
To find the number of study hours needed to score 89, use the formula $$ y = \frac{0.47 \times 89}{100.5 - 89} $$. Calculating this gives approximately 3.64 hours. So, the answer is 3.64 hours.

In the following formula, is the minimum number of hours of studying required to attain a test score of
. How many hours of study are needed to score 89 ?
A. 100.967 hr
B. 36.4 hr
C. 3.64 hr
D. 7.158 hr

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In the following formula, is the minimum number of hours of studying required to attain a test score of . How many hours of study are needed to score 89 ? A. 100.967 hr B. 36.4 hr C. 3.64 hr D. 7.158 hr