Question

Help!!!!!!!!!!!!!!! fast!! pls!!! The following equation is used in meteorology to determine the temperature humidity index T= 2/5(w+80)+15, where w represents the wet-bulb thermometer reading. For what values of w would T range from 85 to 95?

Answer 1

95 to 120, simply plug in each value!

Answer 2

The value of w is lie from 95 to 120.

Explanation:

The temperature humidity index is given by the equation

`T=(2)/(5)(w+80)+15`

where w represents the wet-bulb thermometer reading.

We have to find the values of w for which T range from 85 to 95.

`85\leq T\leq 95`

`85\leq (2)/(5)(w+80)+15\leq 95`

Subtract 15 from all the sides.

`85-15\leq (2)/(5)(w+80)+15-15\leq 95-15`

`70\leq (2)/(5)(w+80)\leq 80`

Multiply all sides by 5.

`70* 5\leq 2(w+80)\leq 80* 5`

`350\leq 2w+160\leq 400`

Subtract 160 from all the sides.

`190\leq 2w\leq 240`

Divide all sides by 2.

`95\leq w\leq 120`

Therefore the value of w is lie from 95 to 120.