Once an airplane has reached its cruising altitude, its computer shows the destination to be 3,400 miles away. if the plane is traveling at a rate of 500 miles per hour, write a linear function of the distance d (in mi) the plane is from its destination t hours after reaching cruising altitude.

d = 3400 - 500t

Step-by-step explanation:

distance (in mi) the plane is from its destination t hours after reaching cruising altitude = d

Time (hours) = t

Rate/ velocity = 500 mi/hr

Linear equation is in the form

y = mx + c

= d = vt + c

At t = 0

d = c = 3400 miles

m = -v (because the distance reduce with time)

m = -500

d = -500t + 3400

d = 3400 - 500t

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus