Math / Numbers & Operations

QuestionOrder: Furosemide 40 mg IV push Supply:
How many mLs will the nurse administer? $\qquad$ mLs Drug Reference: Furosemide is safe to administer over 1-2 minutes. If you are administering over 1 minute, how many mLs will you administer per 15 seconds? $\qquad$ mLs/15 seconds If you are administering over 2 minutes, how many mLs will you administer per 15 seconds? $\qquad$ mLs/15 seconds

Studdy Solution

STEP 1

What is this asking? We need to figure out how many milliliters of furosemide to give a patient, and then how fast to push it over 15-second intervals for both 1-minute and 2-minute administrations. Watch out! Don't mix up the total time with the 15-second intervals!

STEP 2

1. Calculate Total Volume
2. Calculate Rate for 1-Minute Administration
3. Calculate Rate for 2-Minute Administration

STEP 3

Alright, let's start by figuring out how many milliliters of furosemide we need in total.
The doctor ordered $40 \text{ mg}$ , and our vial has $40 \text{ mg}$ per $4 \text{ mL}$ .

STEP 4

This is perfect!
We can set up a proportion: $\frac{40 \text{ mg}}{4 \text{ mL}} = \frac{40 \text{ mg}}{x \text{ mL}}$ .
We want to find $x$ , the number of milliliters we need.

STEP 5

Since the numerators are the same, the denominators must also be the same!
So, $x = \textbf{4 mL}$ .
That means we need a total of 4 mL of furosemide.

STEP 6

Now, let's determine how fast to push the medication over 1 minute.
Remember, 1 minute is equal to $1 \text{ min} \cdot \frac{60 \text{ sec}}{1 \text{ min}} = 60 \text{ sec}$ .

STEP 7

We're pushing $4 \text{ mL}$ over $60 \text{ sec}$ .
To find the rate per 15 seconds, we can set up another proportion: $\frac{4 \text{ mL}}{60 \text{ sec}} = \frac{y \text{ mL}}{15 \text{ sec}}$ .

STEP 8

To solve for $y$ , we can multiply both sides by 15: $y = \frac{4 \text{ mL}}{60 \text{ sec}} \cdot 15 \text{ sec} = \frac{4 \cdot 15}{60} \text{ mL} = \frac{60}{60} \text{ mL} = \textbf{1 mL}$ .
So, we need to push $\textbf{1 mL}$ every 15 seconds.

STEP 9

Finally, let's figure out the rate for a 2-minute administration. $2 \text{ minutes}$ is equal to $2 \text{ min} \cdot \frac{60 \text{ sec}}{1 \text{ min}} = 120 \text{ sec}$ .

STEP 10

We're pushing the same $4 \text{ mL}$ , but this time over $120 \text{ sec}$ .
Our proportion is $\frac{4 \text{ mL}}{120 \text{ sec}} = \frac{z \text{ mL}}{15 \text{ sec}}$ .

STEP 11

Multiply both sides by 15 to solve for $z$ : $z = \frac{4 \text{ mL}}{120 \text{ sec}} \cdot 15 \text{ sec} = \frac{4 \cdot 15}{120} \text{ mL} = \frac{60}{120} \text{ mL} = \textbf{0.5 mL}$ .
So, we push $\textbf{0.5 mL}$ every 15 seconds.

STEP 12

We need to administer 4 mL of furosemide.
For a 1-minute push, administer 1 mL every 15 seconds.
For a 2-minute push, administer 0.5 mL every 15 seconds.

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Studdy Solution

STEP 1

What is this asking? We need to figure out how many milliliters of furosemide to give a patient, and then how fast to push it over 15-second intervals for both 1-minute and 2-minute administrations. Watch out! Don't mix up the total time with the 15-second intervals!

STEP 2

1. Calculate Total Volume
2. Calculate Rate for 1-Minute Administration
3. Calculate Rate for 2-Minute Administration

STEP 3

Alright, let's start by figuring out how many milliliters of furosemide we need in total.
The doctor ordered $40 \text{ mg}$ , and our vial has $40 \text{ mg}$ per $4 \text{ mL}$ .

STEP 4

This is perfect!
We can set up a proportion: $\frac{40 \text{ mg}}{4 \text{ mL}} = \frac{40 \text{ mg}}{x \text{ mL}}$ .
We want to find $x$ , the number of milliliters we need.

STEP 5

Since the numerators are the same, the denominators must also be the same!
So, $x = \textbf{4 mL}$ .
That means we need a total of 4 mL of furosemide.

STEP 6

Now, let's determine how fast to push the medication over 1 minute.
Remember, 1 minute is equal to $1 \text{ min} \cdot \frac{60 \text{ sec}}{1 \text{ min}} = 60 \text{ sec}$ .

STEP 7

We're pushing $4 \text{ mL}$ over $60 \text{ sec}$ .
To find the rate per 15 seconds, we can set up another proportion: $\frac{4 \text{ mL}}{60 \text{ sec}} = \frac{y \text{ mL}}{15 \text{ sec}}$ .

STEP 8

To solve for $y$ , we can multiply both sides by 15: $y = \frac{4 \text{ mL}}{60 \text{ sec}} \cdot 15 \text{ sec} = \frac{4 \cdot 15}{60} \text{ mL} = \frac{60}{60} \text{ mL} = \textbf{1 mL}$ .
So, we need to push $\textbf{1 mL}$ every 15 seconds.

STEP 9

Finally, let's figure out the rate for a 2-minute administration. $2 \text{ minutes}$ is equal to $2 \text{ min} \cdot \frac{60 \text{ sec}}{1 \text{ min}} = 120 \text{ sec}$ .

STEP 10

We're pushing the same $4 \text{ mL}$ , but this time over $120 \text{ sec}$ .
Our proportion is $\frac{4 \text{ mL}}{120 \text{ sec}} = \frac{z \text{ mL}}{15 \text{ sec}}$ .

STEP 11

Multiply both sides by 15 to solve for $z$ : $z = \frac{4 \text{ mL}}{120 \text{ sec}} \cdot 15 \text{ sec} = \frac{4 \cdot 15}{120} \text{ mL} = \frac{60}{120} \text{ mL} = \textbf{0.5 mL}$ .
So, we push $\textbf{0.5 mL}$ every 15 seconds.

STEP 12

We need to administer 4 mL of furosemide.
For a 1-minute push, administer 1 mL every 15 seconds.
For a 2-minute push, administer 0.5 mL every 15 seconds.

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Studdy Solution

STEP 1

What is this asking? We need to figure out how many milliliters of furosemide to give a patient, and then how fast to push it over 15-second intervals for both 1-minute and 2-minute administrations. Watch out! Don't mix up the total time with the 15-second intervals!

STEP 2

1. Calculate Total Volume2. Calculate Rate for 1-Minute Administration3. Calculate Rate for 2-Minute Administration

STEP 3

Alright, let's **start** by figuring out how many milliliters of furosemide we need in total.The doctor ordered 40 mg40 \text{ mg}40 mg, and our vial has 40 mg40 \text{ mg}40 mg per 4 mL4 \text{ mL}4 mL.

STEP 4

This is perfect!We can set up a proportion: 40 mg4 mL=40 mgx mL\frac{40 \text{ mg}}{4 \text{ mL}} = \frac{40 \text{ mg}}{x \text{ mL}}4 mL40 mg​=x mL40 mg​.We want to find xxx, the number of milliliters we need.

STEP 5

Since the numerators are the same, the denominators must also be the same!So, x=4 mLx = \textbf{4 mL}x=4 mL.That means we need a total of **4 mL** of furosemide.

STEP 6

Now, let's **determine** how fast to push the medication over 1 minute.Remember, 1 minute is equal to 1 min⋅60 sec1 min=60 sec1 \text{ min} \cdot \frac{60 \text{ sec}}{1 \text{ min}} = 60 \text{ sec}1 min⋅1 min60 sec​=60 sec.

STEP 7

We're pushing 4 mL4 \text{ mL}4 mL over 60 sec60 \text{ sec}60 sec.To find the rate per 15 seconds, we can set up another proportion: 4 mL60 sec=y mL15 sec\frac{4 \text{ mL}}{60 \text{ sec}} = \frac{y \text{ mL}}{15 \text{ sec}}60 sec4 mL​=15 secy mL​.

STEP 8

STEP 9

Finally, let's **figure out** the rate for a 2-minute administration. 2 minutes2 \text{ minutes}2 minutes is equal to 2 min⋅60 sec1 min=120 sec2 \text{ min} \cdot \frac{60 \text{ sec}}{1 \text{ min}} = 120 \text{ sec}2 min⋅1 min60 sec​=120 sec.

STEP 10

We're pushing the same 4 mL4 \text{ mL}4 mL, but this time over 120 sec120 \text{ sec}120 sec.Our proportion is 4 mL120 sec=z mL15 sec\frac{4 \text{ mL}}{120 \text{ sec}} = \frac{z \text{ mL}}{15 \text{ sec}}120 sec4 mL​=15 secz mL​.

STEP 11

STEP 12

We need to administer **4 mL** of furosemide.For a 1-minute push, administer **1 mL** every 15 seconds.For a 2-minute push, administer **0.5 mL** every 15 seconds.

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1. Calculate Total Volume
2. Calculate Rate for 1-Minute Administration
3. Calculate Rate for 2-Minute Administration

Alright, let's start by figuring out how many milliliters of furosemide we need in total.
The doctor ordered $40 \text{ mg}$ , and our vial has $40 \text{ mg}$ per $4 \text{ mL}$ .

This is perfect!
We can set up a proportion: $\frac{40 \text{ mg}}{4 \text{ mL}} = \frac{40 \text{ mg}}{x \text{ mL}}$ .
We want to find $x$ , the number of milliliters we need.

Since the numerators are the same, the denominators must also be the same!
So, $x = \textbf{4 mL}$ .
That means we need a total of 4 mL of furosemide.

Now, let's determine how fast to push the medication over 1 minute.
Remember, 1 minute is equal to $1 \text{ min} \cdot \frac{60 \text{ sec}}{1 \text{ min}} = 60 \text{ sec}$ .

We're pushing $4 \text{ mL}$ over $60 \text{ sec}$ .
To find the rate per 15 seconds, we can set up another proportion: $\frac{4 \text{ mL}}{60 \text{ sec}} = \frac{y \text{ mL}}{15 \text{ sec}}$ .

Finally, let's figure out the rate for a 2-minute administration. $2 \text{ minutes}$ is equal to $2 \text{ min} \cdot \frac{60 \text{ sec}}{1 \text{ min}} = 120 \text{ sec}$ .

We're pushing the same $4 \text{ mL}$ , but this time over $120 \text{ sec}$ .
Our proportion is $\frac{4 \text{ mL}}{120 \text{ sec}} = \frac{z \text{ mL}}{15 \text{ sec}}$ .

We need to administer 4 mL of furosemide.
For a 1-minute push, administer 1 mL every 15 seconds.
For a 2-minute push, administer 0.5 mL every 15 seconds.