You are biking to the park. After six minutes 40% of the distance still need to be traveled. How long does it take to bike to the park? We write an equation that represents the percent white of the distance that still needs to be travel Dr. X minutes. And equation is Y = it takes minutes to bike to the park?

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Isyllusgo Isyllusgo · Answer 1

Answer:

[tex]y = (100-10x)\%[/tex]

It takes 10 minutes to the park.

Step-by-step explanation:

Given that:

Time taken = 6 minutes

Distance left to be traveled = 40%

To find:

The equation to represent the distance [tex]y[/tex], that still needs to be traveled after [tex]x[/tex] minutes.

Solution:

As per given statement, distance traveled in 6 minutes = 60%

We can say that:

Distance traveled each minute = [tex]\frac{60\%}{6}[/tex] = 10%

After 1 minute, distance traveled = 10%

Distance left = 100 - 10 = 90%

After 2 minutes, distance traveled = 20%

Distance left = 100 - 20 = 80%

After [tex]x[/tex] minutes, distance traveled = 10[tex]x[/tex]%

Distance left, [tex]y[/tex] = (100 - 10[tex]x[/tex])%

Therefore, the equation is:

[tex]y = (100-10x)\%[/tex]

Time taken by the bike to reach to the park can be found by putting [tex]y[/tex] = 0 (i.e. distance left to be traveled = 0)

[tex]0 = 100 -10x\\\Rightarrow 10x = 100\\\Rightarrow x = \bold{10\ minutes}[/tex]