Answer:

Step-by-step explanation:
Let point
be the point where the straight line drawn from point
meets the straight line
, it is evident that
and
is similar given that both triangles share the same angle,
. Hence, the ratio of the sides of each triangle is the same. Specifically,
.
Performing cross multiplication yields
.
9514 1404 393
Answer:
A. $0.85
Step-by-step explanation:
Each time m increases by 1, the cost goes up by $0.85.
The cost per mile is $0.85.
Answer:
Her initial position was:
-29ft
Where we use the minus sign because this is below the ocean's surface.
Now we also know that she keeps descending at a rate of -29ft per minute, then if she keeps descending for t minutes, her position will be:
P(x) = -29ft - 29ft/min*t
Now, we also know that she does not want to descend more than 81ft below the ocean's surface, then we have the inequality:
P(x) ≥ -81ft
-29ft - 29ft/min*t ≥ -81ft
Now let's isolate t in one side:
- 29ft/min*t ≥ -81ft + 29ft = -52 ft
- 29ft/min*t ≥-52 ft
t ≤ -52ft/(- 29ft/min) = 1.79 min
Then the maximum amount of time that she can keep descending is 1.79 minutes.