Ben and Kelly are conducting research to determine the amount of a plant food and water mix to give to a strawberry plant over the course of a week in order to produce the most strawberries each month. Each person grows ten plants and applies different daily amounts of their mixes to each plant. After a month of application, Ben and Kelly record the number of strawberries each plant produced. The results of their research are shown in the tables below. Ben's Results Mix A (in3) No. of Strawberries 5 2 10 4 15 5 20 6 25 8 30 9 35 13 40 11 45 16 50 17
Kelly's Results Mix B (in3) No. of Strawberries 5 1 10 5 15 2 20 7 25 8 30 6 35 5 40 10 45 7 50 11

Calculate the approximate correlation coefficient for each set of data using technology, and select the correct statement.

A. There is not enough information to make a conclusion on Ben's and Kelly's data.
B. Ben's and Kelly's data lie similarly close to each of their lines of best fit because Ben and Kelly's data have the same correlation coefficient.
C. Ben's data lies closer to his line of best fit compared to Kelly's data to her line of best fit because Ben's data has a higher correlation coefficient.
D. Kelly's data lies closer to her line of best fit compared to Ben's data to his line of best fit because Kelly's data has a higher correlation coefficient.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

1.3

step-by-step explanation:

3x2=6   9x+6

bring down the 6 on both sides

6+6=12

12= 9x

divide by 9

12/9 =

1.3 =x