MATHEMATICS HIGH SCHOOL

28. A gardener measures her sunflower each day.The sunflower is currently150 cm and grows 0.25cm per day.
Part 1 - A) Linear Function
Part 2 - Explain your Reasoning:
B) Exponential Function

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

y = 0.25x + 150

y = total height after x days

x = total of days

since the rasio of difference in y (Δy) and difference in x (Δx) is constant, therefore it is applicable to linear function
Answer 2
Answer:

Answer:

1) \boxed{\rm{l = 150 + 0.25n}}

where,

  • l is the length of the sunflower
  • n is the number of days.

2) The initial length of sunflower is 150 cm and it grows about 0.25 cm per day. It means it has grown 0.25 cm on the first day, then 0.25 × 2 = 0.5 cm on the second day, 0.25 × 3 = 0.75 cm on the third day and so on.. The total increase = 0.25 × n where n is the number of days. Now add the increase to the initial length of the sunflower to get the final length of the sunflower.

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(05.02)A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse?A right trapezoid with top side 5 feet and height 5 feet. The bottom side is extended to the right with 3 more feet. 32.5 square feet 40 square feet 187.5 square feet 375 square feet
There are 850 Douglas fir and Ponderosa pine trees in a section of forest bought by Karamazov Logging Co. The company paid an average of $300 for each Douglas fir and $225 for each Ponderosa pine. If the company paid $217,500 for the trees, how many of each kind did the company buy?
If line a is parallel to line c, and line c is parallel to line f, and lines c and f are different lines, which of the following statements is true?

write the equation of a line that passes through the points (−3, 5) and (2, 10) in slope-intercept form

Answers


Slope-intercept form         y = mx + b

                          where    m------> slope

                                         b-------> y-intercept

                                        m= (y1-y2)/(x1-x2)

                                        P1(-3,5)      (x1,y1)

                                        P2(2,10)      (x2,y2)

                                         m= (5-10)/(-3-2)

                                         m= (-5)/(-5)

                                         m=1

               Until now, the equation is y=mx+b

                                                        y=1.x+b

                                                        y=x+b

But, whe can plug  the point   P2(2,10) in y =x+b

                                                     10 =2 + b

                                                   10 - 2 = b

                                                           b= 8

Then, the equation is              y=mx+b

                                                y= x+8   <-------------------Solution

Verification                    P1(-3,5)       y = x+8        5=-3+8     Ok

                                      P2(2,10)      y = x +8      10 = 2+8   Ok

                    

Given the set definitions below, find MxN.M= {a,b,c}
N= {d, el
A. MxN= {(d).(a,e).(3,4).(b.e). (c,d).(c.e)}
B. MXN= {(2,6). (a,0).(d,e)}
C. MXN= {(a,b,c). (d.e)}
D. MXN= {a,b,c,d,e

Answers

Answer:

A.

Step-by-step explanation:

Seth receives 100$ from his grandmother for his birthday he also saves 20$ every month tell whether the equation is linear or non-linear

Answers

Linear y=mx+b
100 is y intercept (b)
20 is your slope (m)
X would be equal to however many moths he saves

A factory produces 90 packages of mixed nuts in 1 min. A quality control manager selected 8 of these 90 packages at random and then counted the number of nuts in each package. The manager recorded the results.31, 31, 32, 33, 35, 35, 35, 36

What is the estimated median number of nuts in all 90 packages?


________

Answers

Data set:

31, 31, 32, 33, 35, 35, 35, 36

Median is the middle value of the data set.

Since there is 8 numbers involved, the median is the average of the 4th and 5th number.

(33 + 35)/2 = 68/2 = 34

The median is 34.

Which describes the calculations that could be used to solve this problem? Levi has 50 hot dogs to pack into boxes and bags. He has one box that will hold 15 hot dogs. He will put the rest of the hot dogs into bags with 5 hot dogs in each bag.

How many bags of hot dogs will Levi be able to fill?

A.
Subtract 50 – 15. Then multiply the difference by 5.

B.
Add 50 + 15. Then divide the sum by 5.

C.
Add 5 + 15. Then add 50 to the sum.

D.
Subtract 50 – 15. Then divide the difference by 5.

Answers

The answer would be D, because like it says, subtract 50-15, then divide the difference by 5

Wendy is paid $12 per hour and plans to work between 30 and 35 hours per week. Identify the independent and dependent quantity in the situation. Find reasonable domain and range values.

Answers

Answer:

Part a) The independent quantity is the variable x (the number of hours) and the dependent quantity is the variable y (total paid)

Part b) Domain 30\leq x\leq 35

Part c) Range \$360\leq y\leq \$420

Step-by-step explanation:

Let

x------> the number of hours

y-----> total paid

The linear equation that represent this situation is

y=12x

so

Part a)

The independent quantity is the variable x (the number of hours)

The dependent quantity is the variable y (total paid)

Part b) Find the domain

The domain is the interval--------> [30,35]

All real numbers greater than or equal to 30 hours and less than or equal to 35 hours

30\leq x\leq 35

Part c) Find the range

For x=30

find the value of y

y=12(30)=\$360

For x=35

find the value of y

y=12(35)=\$420

The range is the interval-------> [\$360,\$420]

All real numbers greater than or equal to \$360 and less than or equal to \$420

\$360\leq y\leq \$420
The independent quantity is her pay and the dependent quantity is the hours she works in a week.
I believe the range would be 30 to 35 hours and the domain would be $360 to $450.
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