Question

Most Welsh Corgis have shoulder heights between 25 and 30centimeters. The following compound inequality relates the estimatedshoulder height (in centimeters) of a dog to the internal dimension of theskull D (in cubic centimeters):25 ≤ 1.05D-32.7 ≤ 30Which compound inequality represents the range for the skull size ofWelsh Corgis? Answer choices are rounded to the nearest tenth.a.) 56.51 ≤D ≤ 59.71b.) 56.51 ≤ D ≤ 61.27c.) 54.95 ≤ D≤ 59.71d.) 54.95 ≤ D≤ 61.27

Answer 1

Step-by-step explanation:

Consider the following inequality:

`25\leq1.05D\text{ - 32.7 }\leq30`

solving for 1.05D, we get:

`25\text{ +32.7}\leq1.05D\text{ }\leq30+32.7`

this is equivalent to:

`57.7\leq1.05D\text{ }\leq62.7`

Now, solving for D, we get:

`(57.7)/(1.05)\leq D\text{ }\leq(62.7)/(1.05)`

this is equivalent to:

`54.95\leq D\text{ }\leq59.71`

we can conclude that the correct answer is:

Answer:

`54.95\leq D\text{ }\leq59.71`