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3 years ago

Which relationship is a function?

Mathematics

1 answer:

Ivan3 years ago

3 0

Step-by-step explanation:

these are the functions

and the others are not a functions because the domain can't match to more than one

You might be interested in

A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walker charge for a 45 minute

zvonat [6]

Step 1

<u>Find the equation in function notation</u>

Let

h-------> the number of hours

y-------> the function for the walker fee in dollars

we know that

the hourly rate is $30\frac{\$}{hour}$

$y=6+30h$

in this linear equation

the independent variable is the variable h

the dependent variable is the variable y

<u>Convert to function notation</u>

Let

$f(h)=y$

$f(h)=6+30h$

Step 2

Find how much does the dog walker charge for a 45 minute walk

Convert the time in hours

$1\ hour=60\ minutes$

$45\ minutes=45/60=0.75\ hours$

substitute in the equation

For $h=0.75\ hours$

$f(0.75)=6+30*(0.75)=\$28.5$

therefore

<u>the answer is</u>

the dog walker charge for a 45 minute walk $\$28.5$

<u>Statements</u>

Step 3

<u>The dependent variable is the number of hours true or false</u>

The statement is false,

because the independent variable is the number of hours and the dependent variable is the walker fee in dollars

Step 4

<u>The function for the walker fee is f(h)= 30h+6 true or false</u>

The statement is True --------> see the Step 1

Step 5

<u>The dog walker charges $22.5 for a 45 min walk true or false</u>

The statement is False

Because the dog walker charges for a 45 minute walk $\$28.5$

5 0

3 years ago

Javier asks his mother how old a tree in their yard is. His mother says, "The sum of 10 and two-thirds of that tree's age, in ye

Sloan [31]

Answer:

His error is adding 10 and 2/3 before multiplying by a(age of the tree)

Step-by-step explanation:

The sum of 10 and two-thirds of that tree's age, in years, is equal to 50.

Correct equation

Sum = addition (+)

two-thirds = 2/3

The tree's age = a

10 + 2/3a = 50

2/3a = 50 - 10

2/3a = 40

a = 40 ÷ 2/3

= 40 × 3/2

= 60

a = 60 years

Javier writes the equation

(10 + two-thirds) a = 50

(10 + 2/3)a = 50

(30+2/3)a = 50

32/3a = 50

a = 50 ÷ 32/3

= 50 × 3/32

= 150/32

a = 150/32

His error is adding 10 and 2/3 before multiplying by a(age of the tree)

5 0

3 years ago

A pencil is `120` millimeters long.

leva [86]

Given the length of the pencil, the length of the marker is 130.8 millimeters.

<h3>What are percentages?</h3>

Percentage can be described as a fraction of an amount expressed as a number out of hundred. Percentages are represented %.

<h3>How long is the marker?</h3>

Length of the marker = (1 + percentage) x length of the pencil

(1.09) x 120 = 130.8 millimeters

To learn more about percentages, please check: brainly.com/question/25764815

6 0

2 years ago

What is the volume of this container?

Keith_Richards [23]

Answer:

The volume of the container is $56\ in^{3}$

Step-by-step explanation:

we know that

The volume of the figure is equal to

$V=Bh$

where

B is the area of the base

h is the height of the figure

Let

$h=4\ in$

Find the area of the base B

$B=(4*4)-(1*2)=14\ in^{2}$

substitute

$V=14*4=56\ in^{3}$

3 0

3 years ago

The perimeter of parallelogram is 72 meters. The width of the parallelogram is 4 meters less than its length . Find the Length a

Marrrta [24]

Let n = length
let n-4 = width since it is 4 meters shorter

2( n+n-4) =72 Two of the length and width added together equal the perimeter
combine like terms
2(2n -4) = 72 Now use the distributive law on the left side of the equation
4n -8 = 72 Now add 8 to both sides

4n -8 +8 = 72 +8
4n = 80 Finally divide each side by 4
n=20
so the length is 20 and the width is 4 less or 16.
Let's see if our answer works.
20 + 16 + 20 +16 =? 72
72 =72 yes, it does. Length = 20 Width = 16

6 0

3 years ago