Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?

Respuesta :

Answer: 50x +3.5

Step-by-step explanation:

100 miles divided by 2 hours is 50 miles per hour, and he has already gone 3.5 miles, so the answer would be y= 50x +3.5

The equation of a line that models the total miles traveled, y, in x hours after this point is y = 50x + 3.5

Total distance to be covered= 100 miles

Distance covered = 3.5 miles

Time given = 2 hours

Therefore, based on the equation given, the number of miles to be covered per hour will be:

= 100 miles / 2

= 50 miles

The equation of line will now be:

y = (50 × x) + 3.5

y = 50x + 3.5

Therefore, the equation of a line that models the total miles traveled, y, in x hours after this point is y = 50x + 3.5

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