After 4 minutes of reading, Aaron was on page 14 of his book. After 8 minutes he was on page 20. Which equation models the page number, y, in terms of minutes x?
Group of answer choices

y = 8x + 1.5

y = 1.5x + 8

y = −1.5x + 8

y = –8x + 1.5

Answers

Answer 1

Answer:

The answer would be (B) y = 1.5x + 8

Step-by-step explanation:

Answer 2

The equation that models the number of pages (y) and number of minutes (x) is y = 1.5x + 8.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Aaron who is reading a book. After 4 minutes of reading, Aaron was on page 14 of his book and after 8 minutes he was on page 20.

Now -

(x) represents the number of minutes and (y) is the number of pages.

At x = 4, y = 14

At x = 8, y = 20

The slope of the line will be -

m = (20 - 14)/(8 - 4)

m = 6/4

m = 3/2

The general equation can be written as -

y = 3x/2 + c

20 = 3/2 x 8 + c

20 = 12 + c

c = 8

Now, we can write the equation as -

y = 1.5x + 8

Therefore, the equation that models the number of pages (y) and number of minutes (x) is y = 1.5x + 8.

To solve more questions on Equation modelling, visit the link below-

https://brainly.com/question/17928312

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Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (3)/(2)-((9)/(10)*k)=0

simplify 9/10

 3      9

 — -  (—— • k)  = 0  

 2     10

simplify 3/2

 3    9k

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   Find the Least Common Multiple

     The left denominator is :       2  

     The right denominator is :       10

Least Common Multiple:

     10

Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M  

   Denote the Left Multiplier by  Left_M  

   Denote the Right Multiplier by  Right_M  

   Denote the Left Deniminator by  L_Deno  

   Denote the Right Multiplier by  R_Deno  

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Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      3 • 5

  ——————————————————  =   —————

        L.C.M              10  

  R. Mult. • R. Num.      9k

  ——————————————————  =   ——

        L.C.M             10

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3 • 5 - (9k)     15 - 9k

————————————  =  ———————

     10            10  

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Here's how:

 -3•(3k-5)

 ————————— • 10 = 0 • 10

    10    

Now, on the left hand side, the  10  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -3  •  (3k-5)  = 0

Solve :    -3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    3k-5 = 0  

Add  5  to both sides of the equation :  

                     3k = 5

Divide both sides of the equation by 3:

                    k = 5/3 = 1.667

one solution was found

k = 5/3 = 1.667

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Step 1: Write expression

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Step 2: Combine like terms

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Step-by-step explanation:

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Answers

Answer:

a) 18

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