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
Vlad1618 [11]
3 years ago
15

The table represents an exponential function. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4

. The second column is labeled y with entries 6, 4, eight-thirds, sixteen-ninths. What is the multiplicative rate of change of the function?
Mathematics
2 answers:
REY [17]3 years ago
9 0

Answer:

2/3

Step-by-step explanation:

scoray [572]3 years ago
4 0

Answer:

The multiplicative rate of change of the function is \dfrac{2}{3}

Step-by-step explanation:

You are given the table

\begin{array}{cc}x&y\\ \\1&6\\2&4\\ \\3&\dfrac{8}{3}\\ \\4&\dfrac{16}{9}\end{array}

An exponential function can be written as

y=a\cdot b^x,

where b is the multiplicative rate of change of the function.

Find a and b. Substitute first two corresponding values of x and y into the function expression:

6=a\cdot b^1\\ \\4=a\cdot b^2

Divide the second equality by the first equality:

\dfrac{4}{6}=\dfrac{a\cdot b^2}{a\cdot b^1}\Rightarrow b=\dfrac{2}{3}

Substitute it into the first equality:

6=a\cdot \dfrac{2}{3}\Rightarrow a=\dfrac{6\cdot 3}{2}=9

So, the function expression is

y=9\cdot \left(\dfrac{2}{3}\right)^x

Check whether remaining two values of x and y suit this expression:

9\cdot \left(\dfrac{2}{3}\right)^3=9\cdot \dfrac{8}{27}=\dfrac{8}{3}\\ \\9\cdot \left(\dfrac{2}{3}\right)^4=9\cdot \dfrac{16}{81}=\dfrac{16}{9}

So, the multiplicative rate of change of the function is \dfrac{2}{3}

You might be interested in
Question 1: What is the GCF of 10x2+15x?
aivan3 [116]

Answer:

694

Step-by-stp explanation:

3 0
3 years ago
Ruby signed up for a frequent-filer program. She receives 3400frequent-flier miles for the first round trip and 1200 miles for a
vovangra [49]

Answer: 8200 miles

Step-by-step explanation:

Based on the question, since she wants to go for five round trips, her first round trip is fixed at 3400 and she will have 4 more additional trips. This can them be calculated as:

= 3400 + 1200x

x = additional trips = 4

We then put the value of x into the equation

= 3400 + 1200x

= 3400 + 1200(4)

= 3400 + 4800

= 8200

She'll have 8200 mile after 5 round trips

3 0
3 years ago
In isosceles triangle GHK below, what is the value of m?
egoroff_w [7]

Answer:

the anwser is b

Step-by-step explanation:

divide 27 by 180 and you get an answer of 54

8 0
3 years ago
Read 2 more answers
Maria has 2 dogs. Her friend bought her h more dogs. Write an expression that show how many dogs Maria has now.
AVprozaik [17]

Answer:

2+h

Step-by-step explanation:

7 0
3 years ago
Which of the following statements is not true?
Daniel [21]

Answer:

3

Step-by-step explanation:

Those are factors of 9 not multiples

3 0
3 years ago
Read 2 more answers
Other questions:
  • The son of three consecutive even integers is 126. let X represent the first integer, X +2 represents the second integer, and X
    6·1 answer
  • A contractor is considering a sale that promises a profit of 26,000 with a probability of 0.7 or a loss (due to bad weather stri
    12·2 answers
  •  The cost of petrol rises by 2 cents a liter. last week a man bought 20 liters at the old price. This week he bought 10 liters a
    10·1 answer
  • craig are some blueberries. he used 2/5 of the blueberries to make muffins. He ate 1/3 of the remainder. what fraction of the bl
    15·2 answers
  • Please help me i need an answer
    10·1 answer
  • Write the following sentence using mathematical symbols:
    8·2 answers
  • I will appreciate if you answer this problem,thanks
    15·1 answer
  • help wirh question 3 pls giving brainliest
    15·1 answer
  • HELP PLEASE FAST GIVING 20 points !!!!!!!
    7·2 answers
  • A ferris wheel has a diameter of 95 feet. How far will someone travel if
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!