Let t be time and r be rate, then if time varies inversely with the rate, the equation is

. If it takes 5 hours to drive a fixed distance at a rate of 80, we can sub those values in to solve for the constant of variation, k.

. Solve for k by multiplying 5 and 80 to get that k = 400. Now let's find a new time t when r is a rate of 70. We will use that k value to do this:

and find that it will take 20 hours to drive the distance at 70 mph when it takes 5 hours to drive the distance at 80 mph. Makes sense that it takes longer to drive a fixed distance when you are going slower.
The basketball fell at rate of 9.8 feet per second
Step-by-step explanation:
The rate is the distance per unit time
Here
Given
Distance = height = h = 53.9 feet
time = t = 5.5 sec
The rate will be given as:

Hence,
The basketball fell at rate of 9.8 feet per second
Keywords: Division, decimals
Learn more about division at:
#LearnwithBrainly
Note:
Any line that has a zero slope is a horizontal line.
Any line with an undefined slope is a vertical line.
So if the line has undefined slope and passes through (3/2, 2/3)
At that point x = 3/2 = 1.5, and y = 2/3.
The graph would be a line that is vertical, and as such it would an equation:
x = 3/2. This is the vertical line.
x = 3/2
A, basic calculator math hope this helps