Answer:
Therefore, we conclute that Kate run 1 mile and 7/15 of a mile for the week.
Step-by-step explanation:
We know that Kate runs 2/3 of a mile on Mondays, Wednesdays and Thursdays. She runs 4/5 of a mile on Tuesday and Fridays. We calculate how many miles does Kate run during the week.
Therefore, we get

Therefore, we conclute that Kate run 1 mile and 7/15 of a mile for the week.
Answer:
(a) The net change of the function is 12.
(b) The average rate of change of the function 4.
Step-by-step explanation:
The average rate of change of function
over the interval
is given by this expression:
average rate of change = 
It is a measure of how much the function changed per unit, on average, over that interval.
Given:

(a) To find the net change of the function, first we calculate the values of
and 

The net change is simply the difference

(b) The average rate of change takes the net change and divides it by the change in the
value.

Answer:
2.5 ft.
Step-by-step explanation:
The area of the side of each smaller square = 100 / 16 sq ft.
= 6.25 sq feet.
So the length of each smaller square = square root of 6.25
= 2.5 ft.
Answer:
It will take them 5 hours to meet if they start moving towards eachother simultaneusly.
Step-by-step explanation:
Distance, s = 540 miles
Motocycle's speed, v = 48 mph
Time for motorcycle to cover 48 miles, t = 
=
= 11.25 h
For a car it takes 2.25 hours less than 11.25 for motorcycle:
Time for car than becomes: 11.25 - 2.25 = 9 h
Speed for car would be v(c) = 
=
= 60 mph
<em>For finding when they will meet, we will need relative speed: </em>
Since they are moving towards each other the relative speed is the sum of speed of car and the speed of motorcycle
Relative Speed = 48 + 60 = 108 mph
Distance = 540 miles
Time = 
= 
= 5 hours
It should be C
Have a good day!!