Question

The function y = –0.296x2 + 2.7x models the length x and height y that your sister's pet rabbit can jump, in centimeters. How high does the rabbit jump? What is the length of the jump?

Answer 1

To figure out the solution in a problem related to calculate maximum or minimum of something, you've to derive the involved equation, and make it equal to 0, solving the x.

So:
y = -0'296x² + 2'7x
y' = -0'592x + 2'7
0 = -0'592x + 2'7
-0'592x = 2'7
x = 4'56

And if we substitute 4'56 on the first equation:
y = -0'296·4'56² + 2'7·4'56
y = 6'16

So the length of the jump is 4'56cm, and the height 6'16cm.

Answer 2

For the problem presented, the rabbit jumps 4.6 cm high and the length of the jump is 6.2 cm long. I am hoping that this answer has satisfied your query about and it will be able to help you, thank you and have a nice day.