The rate of change for both functions is 2.
<h3><u>
Question:</u></h3>
"To get the next term in the sequence,multiply the last term by 2.5 . What is the value of the next term?
1 , 2.5 , 6.25, 15.625, ..."
<h3><u>Answer:</u></h3>
The value of the next term is 39.0625
<h3><u>Solution:</u></h3>
Given that the series is 1 , 2.5 , 6.25, 15.625
When we divide 2nd term by first we get 2.5 , similarly for other successive number when we divide them with their preceding number we get a value of 2.5
So, all the successive numbers are 2.5 times of their previous number

So the value of next term is 39.0625
8k - 9(4k + 4) = 8k - 36k - 36 = <u>-28k </u><u>-</u><u> </u><u>3</u><u>6</u>
The height of the kite is 4.89 feet
Explanation
The length of the line attached to the kite=7 feet
The length of the shadow that is cast on the ground=5 feet
the system forms a right angled triangle where the taught string of the kite is the hypotenuse, the shadow is the base and the height of the kite above the ground is the height.
H=7 feet
b=5 feet
using pythagoras theorem

The kite is 4.89 feet above the ground