oh i think i see instead of ft/miles because i changed the 13 miles to ft it would be 0.61 ft/ft
An airplane covered 13 miles of its route while decreasing its altitude by 42,000 feet. Find the slope of the airplane's line of descent. Round to the nearest hundredth. [Hint: 1 mi = 5280 feet.]
the formula i would use for this would be the slope formula
y=mx+b
would it be
y=68,640x+42,000
If you want altitude (y) in feet, and distance in miles, then
slope= -42000/13 ft/mile
The hint indicates someone wants slope in ft/ft, or - 42000/(12*5280) ft /ft
Actually, the units for slope should have been specified. In the real world, equations dealing with physical things have units. There is a big difference in quarts and liters, and so forth. Units change the values in equations considerably.
slope=-42000/68640
slope=-0.611
nearest hundred
slope=-0.61
am this correct
You missed my point. Yes, in ft/ft
You are on the right track with using the slope formula, but there is a mistake in your calculation. Let's go through the steps to find the slope of the airplane's line of descent.
First, we need to convert the altitude of 42,000 feet into miles. Since 1 mile is equal to 5,280 feet, we can divide 42,000 by 5,280 to get 7.95 miles (rounded to two decimal places).
Now, we have the distance of 13 miles and the altitude change of 7.95 miles. To find the slope, we divide the change in altitude by the change in distance. So, the slope is:
slope = -7.95 miles / 13 miles
Alternatively, we can rewrite the slope as a fraction:
slope = -795/1300
Next, we can simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 5:
slope = -159/260
Finally, let's round the slope to the nearest hundredth. To do this, we can divide the numerator by the denominator and get:
slope ≈ -0.61 (rounded to two decimal places)
So, the slope of the airplane's line of descent is approximately -0.61 (rounded to two decimal places), indicating a downward descent.