Question

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?

Answer 1

ITS 100% A

Explanation:

Answer 2

Option 2.

Explanation:

Let as consider x be 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).

We need to find the graph that could be used to determine the variance levels that would cause a unit to be rejected because of its cooling capacity.

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

`y=|x-6000|`

It is a V-shaped curve with vertex (6000,0) and y-intercept (0,6000).

The related curve is a solid V-shaped 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 2.