# math

A veterinarian has instructed Harrison to give his 75lb dog one 325 mg aspirin tablet for arthritis. the amount of aspirin A remaining in the dog's body after t minutes can be expressed by A=325(1/2)^(t/15). write and solve a logarithmic inequality to find the time it takes for the amount of aspirin to drop below 50 mg.

1. 👍
2. 👎
3. 👁
1. 50 = 325 * (.5)^(t/15)

0.1538 = .5^(t/15)

log (0.1538) = (t/15) log (.5)

-.8129= -.301 (t/15)
t = 15 ( 2.7)
t = 40.5
NOW, there is much more to this problem than meets the eye.
since it is (1/2)^t/something
when t is that something, it will be 1/2
in other words that something is the "half life" of the stuff (radioactive stuff or whatever)
That means every 15 minutes, the stuff is half gone, so in 30 minutes 1/4 is left and in 45 minutes 1/8 is left etc.
so as a quick check, after 45 minutes the should be 325/8 or about 41 left. That makes our 50 left after 40.5 minutes pretty reasonable.
They have sneaked a lot of physics into this little question :)

1. 👍
2. 👎

## Similar Questions

1. ### chemistry

You take an aspirin tablet (a compound consisting solely of carbon, hydrogen, and oxygen) with a mass of 1.00 g, combust it under an oxygen atmosphere, and collect 2.20 g of carbon dioxide and 0.400 g water. The molar mass of

2. ### Art

Which inference about Near Eastern cultures is best supported by this image? (Its a image of Cappadocian Tablet with Cuneiform Inscription Assyrian) A. All citizens of the ancient Near East were excellent writers. B. This tablet

3. ### chemistry

The distribution coefficient between ether & water for aspirin at room temperature is 3.5. What weight of aspirin would be extracted by a single extraction with 150 ml water from a solution of 10 gms of aspirin in 100 ml ether?

4. ### Chemistry

How many moles of C9H8O4 are in a 0.700 g tablet of aspirin? n^C9H8O4 =?????? How many molecules of C9H8O4 are in this tablet? N^C9H8O4 =????? How many carbon atoms are in the tablet? N^C =??????

1. ### Math

**=answer To adopt a dog from an animal shelter, you must pay \$80 for vaccinations, \$65 to spay or neuter the dog, and \$50 for a wellness exam by a veterinarian. a. Write an expression in simplest form that represents the amount

2. ### chemistry

calculate the weight of aspirin in mg per tablet using the following equations: weight of aspirin = MnaoHXvnaoHXmolar mass of aspirin

3. ### statistics

based on the results below, how would you decribe the relationship between heart attack patients being treated with aspirin and whether or not they live? males who lived and treated with aspirin = 15, males who did not live, and

4. ### fractions ASAP plz

The four girls washed the neighbor's dog for 50 cents. They didn't know how to divide the money, so the dog owner said: "I will give the four of you 4/5 of the total amount. To the first one to tell me how much that is, I will

1. ### Business statistics

5. An Aspirin manufacturer fills bottles by weight rather than by count. Since each bottle should contain 100 tablets, the average weight per tablet should be 5 grains. Each of 100 tablets taken from a large lot is weighed,

2. ### Chemistry

Determine the amount of Sodium Salicylate required to make 100mL of a 0.01M stock solution. {this is from the spectrometric analysis of a commercial aspirin tablet lab}

3. ### Fractions help plz

The four girls washed the neighbor's dog for 50 cents. They didn't know how to divide the money, so the dog owner said: "I will give the four of you 4/5 of the total amount. To the first one to tell me how much that is, I will

4. ### chem

Aspirin, C9H8O4, is produced from salicylic acid, C7H6O3, and acetic anhydride, C4H6O3: C7H6O3 + C4H6O3 --> C9H8O4 + HC2H3O2 a. How much salicylic acid is required to produce 1.5 x 10^2 kg of aspirin, assuming that all of the