You drop a ball from a height of 1.5 meters. Each curved path has 71% of the height of the previous path. a. Write a rule for the sequence using centimeters. The initial height is given by the term n = 1.
b. What height will the ball be at the top of the sixth path?

A(n) = 150 ∙ (71)x − 1; 270,634,402,650 cm

A(n) = 0.71 ∙ (1.5)x − 1; 5.39 cm

A(n) = 1.5 ∙ (0.71)x − 1; 0.27 cm

A(n) = 150 ∙ (0.71)x − 1; 27.06 cm

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation: