Question

The​ time, t, in​ minutes, needed for clothes hanging on a line outdoors to​ dry, at a specific​ temperature, depends on the​ humidity, h. The time can be approximated by the equation t=2h²+90h+30​, where h is the humidity expressed as a decimal number. Find the length of time required for clothing to dry if there is 20​% humidity.

Answer 1

The time required is 48.08 minutes

Explanation:

In order to find the time required, you have to replace the value of humidity in the given formula and solve it for t (the time)

The humidity is expressed as a decimal number in the formula, so you have to replace the 20% as a decimal. The 20% can be expressed as 20 divided by 100. Therefore:

h= 20/100=0.2

Now you have the humidity as a decimal number.

Replacing it in the formula t=2h²+90h+30

t=2(0.2)²+90(0.2)+30

Solving for t:

t=0.08 + 18 + 30 = 48.08 minutes.