anonymous
  • anonymous
Starting from 1.5 miles away, a car drives towards a speed checkpoint and then passes it. The car travels at a constant rate of 53 miles per hour. The distance of the car from the checkpoint is given by . At what times is the car 0.1 miles from the checkpoint? Calculate your answer in seconds
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
across
  • across
The question may be incomplete, but I believe the distance of the car from the checkpoint should be modeled by an equation looking something like this:\[y=-53x+1.5\]Is this correct?
across
  • across
Let's keep in mind that the units of the above function are in miles per hour. Now, we're asked to find at what time is the car 0.1 miles from the checkpoint. Well, all we have to do is modify our equation above a little and solve for \(x\):\[0.1=-53x+1.5\]\[-1.4=-53x\]\[-1.4=-53x\]\[x=\frac{14}{530}\]But since the units of \(x\) are in hours, we have to multiply that by \(3600\):\[x=\frac{14}{530}\cdot3600\approx95\]This means that in about 95 seconds, the car will be 0.1 miles from the checkpoint.

Looking for something else?

Not the answer you are looking for? Search for more explanations.