Question

Select the correct answer

An air conditioning unit promises to have a cooling capacity of 6,000 British thermal units (Btu). The unit has a maximum variance of y Btu. If x is the
air conditioning unit's actual capacity, which graph could be used to determine variance levels that would cause a unit to be rejected because of its
cooling capacity?
(A,B,C,D)

Answer 1

the answer will 100 percent be A

Answer 2

The correct option is B.

Explanation:

Let x is the air conditioning unit's actual capacity and y is the maximum variance in British thermal units (Btu).

It is given that an air conditioning unit promises to have a cooling capacity of 6,000 British thermal units (Btu).

It means the maximum variance is less than or equal to absolute difference of actual capacity and 6,000.

`y\leq |x-6000|`

The related equation of this inequality is a V-shaped curve with vertex (6000,0) and y-intercept (0,6000). Related curve is a solid curve because the points on curve included in the solution set.

The shaded region lie below the curve because the sign of inequality is ≤.

Therefore the correct option is B.