If an albuterol inhaler contains 18 mg of albuterol, how many inhalation-doses can be delivered if each inhalation-dose contains 90 μg?

200 inhalation-doses can be delivered if each inhalation-dose contains 90 μg.

Step-by-step explanation:

The problems states that albuterol inhaler contains 18 mg of albuterol and asks how many inhalation-doses can be delivered if each inhalation-dose contains 90 μg.

Since the inhalation-dose is measured in ug, the first step is the conversion of 18mg to ug.

Each mg has 1000ug. So

1mg - 1,000ug

18mg - x ug

x = 1,000*18

x = 18,000ug

There are 18,000ug. How many inhalation-doses can be delivered if each inhalation-dose contains 90 μg?

1 dose - 90ug

x doses - 18,000ug

90x = 18,000

x = 200 doses

200 inhalation-doses can be delivered if each inhalation-dose contains 90 μg.

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step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

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step-by-step explanation:

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