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lesya [120]
3 years ago
10

A laboratory study investigating the relationship between diet and weight in adult humans found that the weight of a subject, W,

in pounds, was a function, W = f(c), of the average number of Calories per day, c, consumed by the subject. In terms of diet and weight, interpret the statement f(1850) = 158.
a. For this person, decreasing calorie intake by 1850 Calories per day will make his/her weight decrease to 158 pounds.
b. For this person, increasing calorie intake by 1850 Calories per day will make his/her weight decrease to 158 pounds.
c. For this person, consuming 1850 Calories per day results in a weight of 158 pounds.
d. For this person, decreasing calorie intake by 1850 Calories per day will make his/her weight increase to 158 pounds.
e. For this person, increasing calorie intake by 1850 Calories per day will make his/her weight increase to 158 pounds
Mathematics
1 answer:
Tju [1.3M]3 years ago
3 0

Answer: Option C

Step-by-step explanation:

From the given condition, W(weight) is a function of C(calories), that is, the value of W is highly dependent on the value of C. In this case, C, is the independent variable and W is the dependent variable. Option C is more correct than other options because the question did not state if increasing C or decreasing C means we havw an increasing W or decreasing W, it only stated that W is. function of C.

Hence when an average of 1850 of calories is consumed, the resulting weight is 158pounds.

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almond37 [142]

The sequence is the Fibonacci sequence!

It works like this.

1+2=3

2+3=5

3+5=8

5+8=13

8+13=21

and so on.

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For this case we have the following function:
 A (t) = A0e ^ {(kt)}

 Where,
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 K: rate of change
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 Substituting values we have:
 A (t) = 22000 * e ^ {(- 0.021 * t)}

 For the year 2015 we have:
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A (t) = 19807
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the predicted population in 2015 is:
 
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3 years ago
Choose the equivalent system of linear equations that will produce the same solution as the one given below.
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In a large population, 64% of the people have been vaccinated. If 5 people are randomly selected, what is the probability that A
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Answer:

0.9940

Step-by-step explanation:

P(at least 1) = 1 − P(zero)

P(at least 1) = 1 − (1 − 0.64)⁵

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8 0
3 years ago
Jackie makes an $800 deposit into a bank account earning 4.5% interest.
Pepsi [2]

Answer:

a. $1251.5

b. $1254.64

c. 15.4 years

d. 30.56 years

Step-by-step explanation:

Given the information:

  • Principle (P) = $800
  • Interest = 4.5%

As we know, the formula to find the future value of Jackie deposit with interest is compounded monthly, quaterly, ..is

A=P(1+\frac{r}{n} )^{nt}  where:

  • P = initial balance
  • r = interest rate (decimal)  
  • n = number of times compounded annually
  • t = time

Hence:

a. If the interest is compounded quarterly how much money will Jackie have in 10 years?

A=P(1+\frac{r}{n} )^{nt}  

<=>  A=800(1+\frac{0.045}{4} )^{4*10}

<=> A = $1251.5

d. If Jackie's money is compounded monthly, how long will it take her money to triple?

<=> A=P(1+\frac{r}{n} )^{nt} = 3*800

<=> 800(1+\frac{0.045}{12} )^{12*t} = 2400

<=> (1+\frac{0.045}{12} )^{12*t} = 3

<=> t = 30.56 years

As we know, the formula to find the future value of Jackie deposit with interest is compounded continuously

A = P*e^{rt} where e is the mathematical constant approximated as 2.7183.

b. If the interest is compounded continuously how much money will Jackie have in 10 years?

<=> A = 800*2.7183^{0.045*10}

<=> A = $1254.64

C. If Jackie's money is compounded continuously, how long will it take her money to double?

<=> P*e^{rt}  = 2*800

<=> 800*2.7183^{0.045*t} = 1600

<=> 2.7183^{0.045*t} = 2

<=> t = 15.4 years

8 0
3 years ago
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