The graph below shows Carter’s weight each week since he started his diet.

ŷ = -1.618X + 215.636

191

Step-by-step explanation:

From the graph:

The data below could be obtained to produce the best fit line :

Week, x :

0

1

2

3

4

5

6

7

8

9

10

Weight :

216

214

213

210

210

207

206

202

203

202

200

Using a linear regression calculator. The best fit line obtained is :

ŷ = -1.618X + 215.636 ; which shows decrease in weight has the number of weeks grow.

Carters weight 15 Weeks into his diet :

X = 15

ŷ = -1.618(15) + 215.636

= 191.366

= 191 (nearest whole number)

ŷ = -1.618X + 215.636

191

Step-by-step explanation:

From the graph:

The data below could be obtained to produce the best fit line :

Week, x :

0

1

2

3

4

5

6

7

8

9

10

Weight :

216

214

213

210

210

207

206

202

203

202

200

Using a linear regression calculator. The best fit line obtained is :

ŷ = -1.618X + 215.636 ; which shows decrease in weight has the number of weeks grow.

Carters weight 15 Weeks into his diet :

X = 15

ŷ = -1.618(15) + 215.636

= 191.366

= 191 (nearest whole number)

The answer is in the image 

The solution is in the following image

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

The answer is in the image 

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

The answer is in the image 

Let the father's age be x and son's be y

10 years before-

Father age=x-10

sons age=y-10

Given,

x-10=10(y-10)

x-10=10y-100

Given present age of father=40

therefore,

x=40

40-10=10y-100

10y-100=30

10y=130

y=130/10

y=13

Therefore present age of son=13years