Find the Constant of Variation for the Stated Condition: Y $y = 8 \frac { 1 } { 6 }$

question 50

Multiple Choice

Find the constant of variation for the stated condition: y is directly proportional to the square of x and inversely proportional to the cube of z , and $y = 8 \frac { 1 } { 6 }$ when x = 42 and z = 36.

• A) k = 6
• B) k = 7
• C) k = 216
• D) k = 36
• E) k = 49

---

Definitions:

MPG

Stands for Miles Per Gallon, a measure to estimate the distance a vehicle can travel per gallon of fuel.

Pooled Estimator

A statistical method used to estimate the mean of two or more groups by assuming that they have the same variance.

Weighted Average

An average where each data point contributes to the final average in proportion to its importance or frequency.

Pooled Sample Variance

An estimate of the variance of two or more populations under the assumption that they have the same variance, calculated by pooling the variances of these samples.