1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
salantis [7]
3 years ago
7

A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. The patient currently has a bone d

ensity of 1,500 kg/mg3. The doctor writes an exponential function to represent the situation. Which values should the doctor use for a and b in a function written in the form f(x) = abx, where f(x) represents the bone density after x years?
Mathematics
2 answers:
kompoz [17]3 years ago
6 0

Answer:

The function f(x) is represented by:

f(x)=1500(0.97)^x

Hence, a=1500 and b=0.97

Step-by-step explanation:

The patient currently has a bone density of 1,500 kg/mg^3.

A doctor estimates that a particular patient is losing bone density at a rate of 3% annually.

This means that the bone density that is remaining is:

100-3=97%

which is also represented as: 97%=97/100=0.97

Hence, the function f(x) that represents the bone density after x years is represented by:

f(x)=a(0.97)^x

where a is the initial bone density which is given to be: 1500 kg/mg^3.

Hence, the function is:

f(x)=1500(0.97)^x

Andrei [34K]3 years ago
5 0
It is 1500 and .97 on  <span />
You might be interested in
A farmer owns a 100 acre farm and plans to plant at most three crops. The seed for crops A,B, and C costs $40, $20, and $30 per
aev [14]

Answer:

The number of acre per crop for maximum profit is;

Crop A = 0 acres

Crop B = 60 acres

Crop C = 40 acres

Profit, P = $26,000

Step-by-step explanation:

We plant A in X acres

B in Y acres and

C in Z acres

Therefore, X + Y + Z ≤ 100

we work A for 1·X workdays

B for 2·Y workdays and

C for 1·Z workdays

Where X + 2·Y + Z ≤ 160

$40·X for crop A

$20·Y for crop B and

$30·Z for crop C is spent whereby

$40·X + $20·Y + $30·Z ≤ $3200

The farmer makes

$100·X from crop A

$300·Y from crop B and

$200·Z from crop C

P = $100·X + $300·Y + $200·Z

Therefore, we have three equations with three unknowns solving the equations simultaneously, we have

X + Y + Z = 100....................................................(1)

X + 2·Y + Z = 160.................................................(2)

$40·X + $20·Y + $30·Z = $3200....................(3)

By subtracting equation (1) from (2) gives Y = 60 acres

Multiplying equation (1) by 40 and subtracting from (3) we  have Z = -40

and therefore, Y = 80

If he plants only B the farmer has 2 work day per acre and since there is a max of 160 days, he can only plant on 80 acres, therefore, total profit = $300 × 80 = $24,000

Comparing the profit per acre to the seed cost we have Profit for seed A = $100 while cost = $40 per acre,

If we remove seed A we have

Y + Z = 100....................................................(4)

2·Y + Z = 160.................................................(5)

$40·X + $20·Y + $30·Z = $3200....................(3)

Solving equation (4) and (5), we have Y = 60 acres and Z = 40 acres

Therefore, the profit becomes

$300 × 60 + $200 × 40 = $26,000.

3 0
3 years ago
GUYS PLEASE HELP ME PLEASE HELP ME PLEASE PLEASE!!!!!
Pani-rosa [81]

Answer:

2y-8

Step-by-step explanation:

-y-5+y+2(2y-y)-3

Do the parenthesis first

-y-5+y+2(y)-3

Multiply

-y-5+y+2y-3

Combine like terms

2y-8

3 0
3 years ago
How much trail mix will each person get if 5 people share 1/2 pound of trail mix?
Tresset [83]
First you write an equation 1/2 divided by 5 than you change the division sign to a multiplication sign then you change the 5 to 1/5 then you multiply 1/2 times 1/5 and you get 1/10
8 0
3 years ago
How many times does 9 go in to 8
Wittaler [7]

Answer:

0.89

Step-by-step explanation:

6 0
3 years ago
Cheryl can travel 21.6 miles on one gallon of gas. How far can Cheryl travel on 6.2 gallons of gas? __________ miles
Nina [5.8K]
21.6 x 6.2 = 133.92

Cheryl can travel on 133.92 miles 
3 0
3 years ago
Read 2 more answers
Other questions:
  • A study uses a sample of 200 college students to learn about the number of hours they studied for their final exams. The mean nu
    15·2 answers
  • Divide (x^2-16/x-1)/x+4
    10·1 answer
  • Where is the opposite of 8 located on a number line?
    7·2 answers
  • What is the value of k?<br> k = 28<br> k = 29<br> k = 31 <br> k = 42
    13·1 answer
  • How to do this problem​
    12·1 answer
  • A jar of sweet contains 5 yellow sweets, 4 red sweets, 8 green sweets, 4 orange sweets and 3 white sweets. Ola chose a sweet at
    6·2 answers
  • Please I need help ASAP ;-;
    11·2 answers
  • 1, 3, 9, 27, ... What's the pattern rule and the next three numbers?​
    9·2 answers
  • Suppose a pentagon graphed on a coordinate plane willundergo a dilation.Which of these is a true statement?
    15·2 answers
  • Please help me! Have to get it done before 5
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!