7. Cassidy's family is driving home
1 answer:
Answer:
The equation in a point-slope form that represents their distance from
home, y miles, after x hours, is y - 110 = 55(x - 2)
Step-by-step explanation:
The point-slope form of the linear equation is
, where
m is the slope of the line (average)
is a point on the line
→ The family is driving home from vacation at an average speed
of 55 miles per hour
∴ m = 55
→ After 2 hours they are 110 miles from home
∵ x is the number of hours
∵ y is the distance in miles after x hours
∴ = 2
∴ = 110
→ Substitute these values in the form of the equation above
∴ y - 110 = 55(x - 2)
The equation in a point-slope form that represents their distance from
home, y miles, after x hours is y - 110 = 55(x - 2)
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-16t²+250 = 75
-16t² = 75 -250
-16t² = -175
t² = -175 /-16
t² = 175/16
Here there si two solutions : t = and t = -
However, as time cannot rewind, we will keep only positive solution
So t =
in seconds it will be : 3.3 seconds