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Gelneren [198K]
2 years ago
13

Tamara was asked to write an example of a linear functional relationship. She wrote this example: My babysitting service charges

an initial $5.00 fee plus an additional $6.50 per hour. Complete the table below to show the babysitting rate for different numbers of total hours. Then write a linear equation in the form y=mx+b that represents this relationship where m is the slope and b is the y-intercept. Use the on-screen keyboard to type your answers in the boxes below. Total Hours 1 $
2 $
3 $
4 $
Mathematics
1 answer:
Vlada [557]2 years ago
7 0

Answer:

Hours      Charge

1               y = 6.5(1) + 5 = $11.5

2              y = 6.5(2) + 5 = $18

3              y = 6.5(3) + 5 = $24.5

4              y = 6.5(4) + 5 = $31

Step-by-step explanation:

In an equation y=mx+b, we can interpret the intercept b as the value of the initial charge and the slope m as the additional charge per hour. So, we can formulate the following equation:

y = 6.5x + 5

Where x is the hours and y are the charges for the babysitting, so, we can fill the table as:

Hours      Charge

1               y = 6.5(1) + 5 = $11.5

2              y = 6.5(2) + 5 = $18

3              y = 6.5(3) + 5 = $24.5

4              y = 6.5(4) + 5 = $31

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stiks02 [169]

Answer:

See explanation

Step-by-step explanation:

A. Solution set is in the attachment (dark green shading in the middle)

B. Yes, 2(5) + 3(1) ≤ 15; 13 is less than or equal to 15

5 + 1 > 3, 6 is greater than 3

C. (4, 2) means that he buys 4 sandwiches and 2 hot lunches

8 0
2 years ago
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An object is thrown from a height of 5 in. After 2 s, the object reaches a maximum height of 9 in, and then it lands back on the
Marta_Voda [28]

Answer:

y=-(x-2)^2+9

Step-by-step explanation:

Hope this helps

7 0
2 years ago
Use Gauss's Law to find the charge contained in the solid hemisphere x2 + y2 + z2 ≤ a2, z ≥ 0, if the electric field is E(x, y,
Anit [1.1K]

Answer:<em><u> \frac{16}{3}πa^{3} . </u></em>

Given:

x^{2}+y^{2}+z^{2} \leq a^{2}, z \geq 0

Using Gauss's Law = ∫∫s E ·dS  

= ∫∫∫ div E dV,  

⇒ Divergence (Gauss') Theorem  

= ∫∫∫ (1+1+6) dV  

= 8×(volume of the hemisphere, radius "a")  

= 8× (\frac{1}{2})(4/3)πa^{3}  

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6 0
2 years ago
I ordered some books online for myself and friends. ​Each book costs \$ 13$13 and the store charges a flat rate for shipping of
Sonbull [250]

Answer: 13n + 20

Step-by-step explanation:

The cost of each book is $13. That means that if you end up buying "n" books, cost would be:

= Cost of each book * number of books

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= 13n

You would also get charged a flat rate for shipping of $20 which would be added to the above cost to bring a total of:

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8 0
2 years ago
A line contains the points (82, −96) and (87, −86).
Alik [6]

Answer:

<h2>The answer is 2</h2>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(82, −96) and (87, −86)

We have

m =  \frac{ - 86 -  - 96}{87 - 82}  =  \frac{ - 86 + 96}{5}  =  \frac{10}{5}  = 2 \\

We have the final answer as

<h3>2 </h3>

Hope this helps you

8 0
2 years ago
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