Dudley is biking. He wants to cover 40 miles. If he travels 30 miles every 2 hours, what is the equation of a line that models y, the number of miles he has left to travel, after biking x hours?
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Given:
Total distance = 40 miles
Time taken to travel 30 miles = 2 hrs
To Find:
Equation of a line that models y,
Solution:
Let the distance travelled be = x
Biker travels distance in 2 hours = 30 miles
Travelling in x hours will be - 30/2 × x
= 15 miles
Now since total miles are 40,
Thus, the distance remaining to cover will be - ( 40 - 15x ) miles.
or y = -15x + 40
Answer: The equation of line is y = -15x + 40
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