muffin261
08.01.2021 •
Mathematics
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?
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Ответ:
See below
Step-by-step explanation:
Start time = 9 A.M.
JessicaStart point- 40 milesSpeed - 30 mphEquation:
y = 40 + 30xKateStart point- 10 milesSpeed - 40 mphEquation:
y = 10 + 40xNote. 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 + 40x10x = 30x = 3And 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.
Ответ: