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irina [24]
3 years ago
7

A person's Body Mass Index (BMI) is a measure of the mount of fat in their body. The relationship between antioxidant food consu

mption per day in cups and the BMI of an individual is modeled by the following line of best fit: y = -0.1x + 22. Interpret the slope and intercept of the trend line within the context of the data.
Mathematics
1 answer:
loris [4]3 years ago
4 0

Answer:

Check explanation

Step-by-step explanation:

Given:

y = -0.1x + 22

Where,

y = BMI of an individual

x = antioxidant food consumption per day in cups

Equation of a slope

y = mx + c

Where,

m = slope

c = y - intercept

Therefore,

From the equation

y = -0.1x + 22

slope, m = -0.1

y - intercept, c = 22

You might be interested in
A bank advertises that it compounds money quarterly and that it will take Double your money in 10 years. what is the interest-ra
S_A_V [24]

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

Step-by-step explanation:

The given is,

                          Compounds money quarterly

                          Double your money in 10 years

Step:1

              Formula to calculate future investment with compounded quarterly,

                                                        A =P(1+\frac{r}{n} )^{nt}...............................(1)

              Where, A - Future amount

                           P - Initial investment\

                            r - Rate of interest

                            n - No. of compounding in a year

                             t - No. of years

Step:2

               Let, P = X

                      A = 2X ( Double your money )

              From given, n - 4 ( for compounding quarterly )

                                    t - 10 years

               From equation (1)

                                                        2X =X(1+\frac{r}{4} )^{(4)(10)}

                                                         \frac{2X}{X}  =(1+\frac{r}{4} )^{(4)(10)}

                                                            2  =(1+\frac{r}{4} )^{40}

          Take root 40^{th} root on both side,

                                                         \sqrt[40]{2} = (1+\frac{r}{4} )

                                            1.017479692 = (\frac{4+r}{4} )

                                     (1.017479692)(4) = (r+4)

                                                  4.06992=(r+4)

                                                              r = 4.06992 -4

                                                              r =( 0.06992)(100)

                                                              r = 6.992 %

Result:

             The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

3 0
3 years ago
-4 3/5 divided by 1 1/5 as a mixed number or simplified
WITCHER [35]
-23 over 5 ÷ 11 over 5
-23 × 5 over 5 × 5
-115 over 55


Therefore, your answer would be: -2 and 1 over 11
4 0
4 years ago
Read 2 more answers
Find each percent increase round to the nearest percent from $5 to $8
asambeis [7]
First subtract the two numbers:

8 - 5 = 3

Now divide this to the original:

3 / 5 = 0.6

Multiply by 100:

0.6 * 100 = 60%
7 0
4 years ago
Solve the equation. Check your solution.<br> 3x+4x-8=6<br> x= <br> ​(Simplify your​ answer.)
KengaRu [80]

Answer:

<h2>x=2</h2>

Step-by-step explanation:

Isolate x

3x + 4x - 8 = 6

             +8    +8

3x + 4x = 6 + 8

Simplify

3x + 4x = 6 + 8

7x = 14

Divide both sides by 7

7x/7 = 14/7

x = 2

6 0
3 years ago
If g(3) = 5 and g(-1) = 5, explain why g(x) does not have an inverse.
Alenkinab [10]

g(x) cannot have an inverse because it gives the same output value for two individual input values.

In this case, g(x) is 5 when x is both 3 and -1. Hence, g(x) does not have an inverse.

Let me know if you have any questions, thanks!

4 0
3 years ago
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