Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

At 9 a.m., Jessica started riding on the Red Mountain Parkway at the 40-mile marker.
At the same time, Kate started riding on the Red Mountain Parkway at the 10-mile
marker. Jessica rides her motorcycle at a rate of 30 miles per hour. Kate rides her
motorcycle at a rate of 40 miles per hour. If they are both riding in the same direction,
which graph shows the number of hours after 9 a.m. when Jessica and Kate will be in
the same position on the parkway?

Sagot :

mhanifa

Answer:

See below

Step-by-step explanation:

Start time = 9 A.M.

Jessica

  • Start point- 40 miles
  • Speed - 30 mph

Equation:

  • y = 40 + 30x

Kate

  • Start point- 10 miles
  • Speed - 40 mph

Equation:

  • y = 10 + 40x

Note. There is no graph but see the attached. It should be similar graph for this case

The will meet after 3 hours at 130 miles mark

Solving the system of equations we get:

  • 40+30x = 10 + 40x
  • 10x = 30
  • x = 3

And y is:

  • y = 40+3*30 = 130

(3, 130) is the intersection of lines

Since it takes 3 hours for Jessica and Kate, it happens at 12 A.M.

View image mhanifa
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.