Burro Travel Bureau arranges trips for descending into the Grand Canyon. For each trip, they charge an initial fee of \$25$25dol
lar sign, 25 in addition to \$0.10$0.10dollar sign, 0, point, 10 for each vertical meter they descend. Let yyy represent the fee (in dollars) of a trip where they descended xxx vertical meters.
2 answers:
Answer:
Slope and y-intercept
Step-by-step explanation:
The complete question is shown in the image attached with.
For each trip an initial fee of $ 25 is charged and $ 0.10 is charged for each vertical meter descended.
Since, for each vertical meter the charge is $ 0.10, for x meters the charges will be $ 0.10x. So,
Total charges of the trip would be:
Total charges/fee = Initial Fee + Fee for x meters
y = 25 + 0.10x
y = 0.10x + 25
The general slope intercept form of the equation of the line is:
y = mx + c
Where,
m = slope of the line
c = y-intercept
Compairing both the equations given above we, get:
Slope of line = m = 0.10
y-intercept = c = 25
So, the given statements gives us the slope and the y-intercept of the graph.
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Answer
Find out the m∠p .
To prove
As in ΔDAB is a right triangle
Apply pythagorean theorem
Hypotenuse ² = Perpendicular ² + Base²
DB² = AB² + AD²
AB = 5 units
AD = 6 units
Put in the above formula
DB² = 5² + 6²
= 25 + 36
= 61
= 7.8 units (approx)
Now in ΔDCB is a right triangle .
By using the trignometric identity .
As DC = 4 units
DB = 7.8 units (approx)
Put all the values in the trignometric identity .
∠p = 59.15 ° (approx)