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Tema [17]
3 years ago
11

YOUR TURN

Mathematics
1 answer:
Karolina [17]3 years ago
4 0

Answer:

The equation is: <em>y</em> = 15·<em>x</em>

Step-by-step explanation:

It is provided that at the Speedy Bike Works, 15 bicycles are produced each hour.

Consider the table below.

                    Number of Hours:       1          3          6          10

Number of Bicycles Produced:      15        45        90       150

Compute the ratio of number of bicycles produced and number of hours for every data above as follows:

\text{1 hour}=\frac{15}{1}=15:1\\\\\text{3 hour}=\frac{45}{3}=\frac{15}{1}=15:1\\\\\text{6 hour}=\frac{90}{6}=\frac{15}{1}=15:1\\\\\text{10 hour}=\frac{150}{10}=\frac{15}{1}=15:1

The ratio of the number of bicycles produced and number of hours is same for every data value.

Thus, the relationship between the number of bicycles produced and number of hours is proportional.

The equation for the relationship is:

<em>y</em> = 15·<em>x</em>

<em>y</em> = number of bicycles produced

<em>x</em> = number of hours

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5x+20y=4<br> x=-4y+1<br><br> Solve for x/y
Andrews [41]

Hi there!


Looks like a lot of work is going on here.


Let's start by solving this equation for the x.


5x + 20y = 4


Step 1) Add -20y to both sides.


5x + 20y + - 20y = 4 - 20y 5x = -20y + 4


Step 2) Divide both sides by 5.


\frac{5x}{5}  = \frac{-20y + 4}{5}


x = -4y +  \frac{4}{5}


Final Answer:


x = -4y +  \frac{4}{5}


Now, let's solve for y.


Step 1) Add -5x to both sides.


5x + 20y + - 5x = 4 + - 5x 20y = -5x + 4


Step 2) Divide both sides by 20.


\frac{20y}{20} =  \frac{-5x + 4}{20}


y =  \frac{-1}{4} x +  \frac{1}{5}


Final Answer:


y =  \frac{-1}{4} x +  \frac{1}{5}


Hope this helps! :D


Hint - When you have two variables in an equation, and you want to solve for one, the other will end up in your answer. :)

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Answer: See attached.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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