Find the slope of the line through the following pair of points and draw the line through the points (4,1) (-1,-5)
1 answer:
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Answer:
Barbara's speed in clear weather is and in the thunderstorm is
.
Step-by-step explanation:
Let be the speed and
be the time Barbara drives in clear weather, and let
be the speed and
be the time she drives in the thunderstorm.
Barbara drives 22 mph lower in the thunderstorm than in the clear weather; therefore,
(1).
Also,
(2).
(3). ,
and
(4).
From equations (2) and (3) we get:
putting these in equation (4) we get:
and substituting for from equation (1) we get:
This equation can be rewritten as
which has solutions
We take the first solution because it gives a positive value for
.
Thus, Barbara's speed in clear weather is and in the thunderstorm is
.