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Georgia [21]
3 years ago
14

Match the real-world problem to its constant of proportionality.

Mathematics
1 answer:
OleMash [197]3 years ago
7 0

Answer:

6.12

1.39

4.12

12

Step-by-step explanation:

If y ∝ x, then y = kx.

So, the constant of proportionality is given by k = \frac{y}{x}

Case 1:

$18.36 for 3 pizzas

Therefore, the constant of proportionality is \frac{18.36}{3} = 6.12

Case 2:

$4.17 for 3 pounds of bananas.

Hence, the constant of proportionality is \frac{4.17}{3} = 1.39

Case 3:

$16.48 for 4 pounds of potatoes.

Hence, the constant of proportionality is \frac{16.48}{4} = 4.12

Case 4:

2 cups of flour to make 24 cookies.

Hence, the constant of proportionality is \frac{24}{2} = 12 (Answer)

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If (y + 1) varies directly as square root of x and y =14 when x = 27, find the value of y when
marysya [2.9K]

Answer:

22.1 or 22

Step-by-step explanation:

Y + 1 varies√x

Y + 1 = K√x ( k is costant)

so we solve for K

given: 14 + 1 = K√27

15 = K√27

divide both sides by √27

15/√27 = K

to find the value of y

y + 1 = 15/√27 (8) : substitute K for 15/√27

Y + 1 = 120/√27

i.e Y = 120/√27 - 1

Y = 23.1 - 1

Y = 22.1 or 22

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2 years ago
What is the perimeter
lana [24]

The edges of it so 16 is the answer.

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3 years ago
Question 4
Svetach [21]

A) Composite function that represents how many flowers Iris can expect to bloom over a certain number of weeks is f[s(w)] = 50w + 25.

B) The unit of measurement for the composite function is flowers.

C) Number of the flowers for 30 weeks will be 1525.

<h3>What is a composite function?</h3>

A function is said to be a composite function when a function is written in another function. The composite function that represents the number of flowers is f[s(w)] = 50w + 25. and the number of flowers for 30 weeks is 1525.

Part A: Write a composite function that represents how many flowers Iris can expect to bloom over a certain number of weeks.

From the given data we will find the function for the number of flowers with time.

f(s) = 2s + 25

We have  s(w) = 25w

f[(s(w)]=2s(w) + 25

f[(s(w)] = 2 x ( 25w ) +25

f[s(w)] = 50w + 25.

Part B: What are the units of measurement for the composite function in Part A

The expression f[s(w)] = 50w + 25 will give the number of the flowers blooming over a number of the weeks so the unit of measurement will be flowers.

Part C: Evaluate the composite function in Part A for 30 weeks.

The expression f[s(w)] = 50w + 25 will be used to find the number of flowers blooming in 30 weeks put the value w = 30 to get the number of the flowers.

f[s(w)] = 50w + 25.

f[s(w)] = (50 x 30) + 25.

f[s(w)] = 1525 flowers.

Therefore the composite function is f[s(w)] = 50w + 25. unit will be flowers and the number of flowers in 30 weeks will be 1525.

To know more about composite functions follow

brainly.com/question/10687170

#SPJ1

3 0
1 year ago
A stockholder sold her shares and made a profit of $1,327. If that is a profit of 22%, how much were the shares worth when she o
postnew [5]

Answer:

1087

Step-by-step explanation:

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3 years ago
Seventh grade
nirvana33 [79]

Answer:

Step-by-step explanation

47,400-36,498 = 10,902

10,902/ 47,400 = 0.23

0.23 = 23%

4 0
2 years ago
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