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Sagot :
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]
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