1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ser-zykov [4K]
3 years ago
15

Muke is sick with the flu but he still cors to school on monday. He areives at 8am and by 9am (hour 1) muke has already infected

two of his friends
Mathematics
1 answer:
Volgvan3 years ago
6 0

Answer:

\begin{array}{ccccccccc}{Hours} & {0} & {1} & {2} & {3} & {4}& {5} & {6} & {7} \ \\ {Persons} & {1} & {2} & {4} & {8} & {16}& {32} & {64} & {128} \ \end{array}

Step-by-step explanation:

Given

See attachment for complete question

Solving (a): Complete the table

Let

x = hours

y = persons

From the table question, we have:

(x_1,y_1) = (0,1)

(x_2,y_2) = (1,2)

(x_3,y_3) = (2,4)

The pattern follows that, an increment in x by doubles the value of 1.

So, the other values are:

(x_4,y_4) = (3,8)

(x_5,y_5) = (4,16)

(x_6,y_6) = (5,32)

(x_7,y_7) = (6,64)

(x_8,y_8) = (7,128)

So, the complete table is:

\begin{array}{ccccccccc}{Hours} & {0} & {1} & {2} & {3} & {4}& {5} & {6} & {7} \ \\ {Persons} & {1} & {2} & {4} & {8} & {16}& {32} & {64} & {128} \ \end{array}

Solving (b): The graph

The table follows an exponential function:

y = ab^x

We have: (x_1,y_1) = (0,1)

This gives:

y = ab^x

1 = ab^0

b^0 \to 1

So:

1 = a*1

1 = a

a =1

Also: (x_5,y_5) = (4,16)

This gives:

y = ab^x

16 = 1 * b^4

16 = b^4

16 \to 2^4

So:

2^4 = b^4

Cancel the exponents (4)

2 =b

b = 2

So, the function y = ab^x is:

y = 2^x

<em>See attachment 2 for graph</em>

You might be interested in
X^2=1/4 please help me
skelet666 [1.2K]
X² = 1/4 ⇒√⇒ x₁ = 1/2, x₂ = -1/2
5 0
3 years ago
Read 2 more answers
A bag contains 12 pieces of candy. In how many ways can five pieces be selected?
Misha Larkins [42]

Answer:

Step-by-step explanation:

1.  none

because of 12 is not divisible by five

8 0
3 years ago
Five less than three. Times the length L
Marina86 [1]

the answer is...

3L-5

7 0
3 years ago
Read 2 more answers
Can someone help me with this ? asap !
nikdorinn [45]

Answer:

the 3rd one

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Choose the ratio that you would use to convert 880 yards to miles. Remember
gtnhenbr [62]
The answer would be 0.5 because 880 is half of 1760 meaning that 0.5 is also equal to 1/2. So since 1760 equals one mile and 880 is half of 1760 it’s half a mile. Hope this helps :)
8 0
3 years ago
Other questions:
  • Which expressions are equivalent to the expression −6x + 8? Select all that apply. 1. −2(3x + 4) 2. 2(−3x + 4) 3. 5(x + 1) − 11x
    14·1 answer
  • What is the greatest common factor 18, 42 and 24,30 and 24,36
    14·2 answers
  • Plz help ASAP!!!!!!!!!!! <br>WILL MARK BEAINLIST!
    15·1 answer
  • There are 2121 students in a school. A PE teacher wants to arrange maximum possible number of students in the field such that th
    9·1 answer
  • What is the measure of 31°<br><br> I need help
    12·1 answer
  • Find the volume of each sphere. Round to the nearest tenth.
    9·1 answer
  • Helpp pls i need this asap
    11·1 answer
  • Consider the linear equation x- 3/2y = 2
    11·1 answer
  • During the spring, when the snow and ice melt in the Inka Binka Mountains, it causes the Habooka River to rise. If the river ris
    15·1 answer
  • Help me please!!!! 14 point reward + brainiest
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!