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Bezzdna [24]
3 years ago
12

Sophia earns $12 per hour working in an office plus $5 dollars for parking fees. She uses the function e = 12h + 5 to represents

her daily earnings, where e represents her earnings and h represents the number of hours she works. Explain whether or not the function has a proportional relationship.
Mathematics
1 answer:
Tamiku [17]3 years ago
3 0

Answer:

The given function is not a proportional relationship

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>

In this problem we have

e=12h+5

This is the equation of the line in slope intercept form

where

e ---> represents her daily earnings

h ---> represents the number of hours she works

we have

The slope is equal to m=\$12\ per\ hour

The y-intercept is b=\$5

Remember that

In a proportional relationship the y-intercept is equal to zero, because the line passes through the origin

In this problem, the y-intercept is not equal to zero, so this line don't pass through the origin

therefore

The given function is not a proportional relationship

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A rectangle has a length five more than twice the width. If the perimeter is 22 units find the width and length
PtichkaEL [24]

Set the following: Length = L    Width = W

The length is twice the width:    L = 2*W     or:  W = L/2

Perimeter: P = 60ft = 2*L + 2*W

Substituting L for W in the perimeter equation gives:

P = 60ft = 2*L + 2*(L/2) = 2*L + L = 3L

L = 60ft/3 = 20ft    W=L/2=20ft/2=10ft

Verify result:  Perimeter= P = 60ft = 2L + 2W = 2*20ft +2*10ft = 40ft+20ft = 60ft

The area of the rectangular is: Area = A = Length*Width = L*W = 20ft*10ft = 200 (ft)^2

-Rosie

3 0
3 years ago
Which set or ordered pairs represents y as a unction Or X!
Zepler [3.9K]

A relation is said to be a function when every element in the domain has one and only one distinct image in the co- domain.

In the first three options , one single element in domain has more than one image.

(-2,3), (-2, 2), (-2, 1), (-2, 0)

here -2 as an element in the domain has 3,2,1,0 has image-----> so not a function

(10, 15), (5, 1), (10, 6), (6, 10)

Here 10 , an element in the domain has 15,6 as image-----> so not a function

(-11, 2), (3,8), (3, 2), (2, 2)

Here 3, as an element in the domain has 8 and 2 as image-----> so not a function

So, OPTION D

(1,6), (2, 5), (10, 5), (-17, 8)

7 0
2 years ago
During one waiter’s shift, he delivered 13 appetizers, 17 entrées, and 10 desserts.
Romashka-Z-Leto [24]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
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Which information could he have used to determine this?
disa [49]

Answer:

c

Step-by-step explanation:

If it equals the double of one angle that means it is bisected in to 2 equal parts

5 0
3 years ago
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Let SSS represent the number of sunflower plants and LLL represent the number of lily plants Ezra's water supply can water.
Fantom [35]

Answer:

Ezra can water at most approximately 8 sunflower plants with the remaining amount of water.

Step-by-step explanation:

Given the inequality function

0.7S+0.5L≤11 where S represent the number of sunflower plants and L represent the number of lily plants Ezra's water supply can water, if Ezra waters 10 lily plants, then we can calculate the maximum amount of sunflower plant that he can water with the remaining amount of water by simply substituting L = 10 into the inequality function as shown;

0.7S+0.5L≤11

0.7S+0.5(10)≤11

0.7S+5≤11

Taking 5 to the other side:

0.7S≤11-5

0.7S≤6

S≤6/0.7

S≤8.57

This shows that Ezra can water at most approximately 8 sunflower plants with the remaining amount of water.

3 0
3 years ago
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