A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 128 pounds requires 240 milligrams of medicine. What is the weight of a patient who requires 225 milligrams of medicine?

A patient weighing 120 pounds requires 225 milligrams of medicine.

Step-by-step explanation:

We are given the following in the question:

A patient weighing 128 pounds requires 240 milligrams of medicine.

We can find the ratio of patient's weight to amount of medicine as:

Let x be the patient's weight who requires 225 milligrams of medicine.

Thus, we can write

Thus, a patient weighing 120 pounds requires 225 milligrams of medicine.

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: