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Varvara68 [4.7K]
3 years ago
11

The amount that Susan charges per hour for babysitting is directly proportional to the number of children she is watching. She c

harges $4.50 for 3 kids. How much would she charge to babysit 5 kids?
Mathematics
2 answers:
max2010maxim [7]3 years ago
5 0
$7.50 for 5 kids you divide 4.50 by 3 and get 1.50 and you take 1.50 times 5 and get 7.50
PtichkaEL [24]3 years ago
4 0

Answer: $7.5

Step-by-step explanation:

When two quantities x and y are directly proportional , then the equation that represents the direct proportion is given  y :-

\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}      (1)

Given : The amount that Susan charges per hour for babysitting is directly proportional to the number of children she is watching. She charges $4.50 for 3 kids.  

Let she charges x amount  to babysit 5 kids, then we have following equation:-

\dfrac{x}{5}=\dfrac{4.50}{3}\\\\\Rightarrow\ \dfrac{4.50}{3}\times5=7.5

Hence, she would charge $ 7.5  to babysit 5 kids.

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A 13- ounce package of pistachios costs $5.99. What is the unit rate?
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Paula has her own business making cakes for
djverab [1.8K]

Answer:

Since Paula has her own business of making cakes for special occasions, and the total price (P) of one of Paula's cakes is represented by the equation P = 0.75S +10, where S is the number of people the cake serves, for determine what does the 0.75 represent in this situation and what does the 10 represent in this equation, the following mathematical reasoning must be carried out:

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Therefore, 0.75 is the value of each serving, which can be variable (the number of servings can vary)

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3 years ago
An acrobat is on a platform that is 25 feet in the air. She jumps down in the initial velocity of 4 feet/seconds . Write the qua
Alenkasestr [34]

Answer:

a) h(t) = -16t²+ 4t + 25

b) Therefore it would take her 1.25 seconds to land safely in the net.

Step-by-step explanation:

The equation to be used is given as

h(t) = –gt²+ vt + S(t)

where g = force of gravity and because our question is in feet's = 16

V= Initial velocity

h = height

S = distance

a) The quadratic function for the above question

Using the formula

v = Initial velocity in the question = 4ft/s

S(t) = 25ft in the air

Hence the Quadratic function is

h(t) = –gt²+ vt + S(t)

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b) If the safety net is placed 5 feet above the ground, how long will it take her to land safely in the net?

We are to find the time(t)

We can calculate this by using the quadratic function we derived in question (a)

The quadratic function is

h(t) = -16t²+ 4t + 25

Where, the height (h) = 5 feet above the ground

5= -16t² + 4t + 25

-16t² + 4t + 25 -5 = 0

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Using the quadratic equation formula of

x = -b ± √b² -4ac /2a

where the quadratic equation =

ax² + bx + c = 0

a = -16 , b = 4 , c = 20

x = -16 ± √4² - 4×-16×20 / 2×-16

x = -1 or ,1.25

Therefore it would take her 1.25 seconds to land safely in the net

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