Answer: The required height of the basketball on bounce 3 is 9.5 in.
Step-by-step explanation: Given that a basketball drops from a height of 76 in. On bounce 1, it rebounds to a height of 38 in. and on bounce 2, it rebounds to a height of 19 in.
We are to find the height to which basketball bounces on bounce 3.
If we write the heights of the basketball in consecutive bounces (0, 1, 2, . . .), then it will form a sequence as follows :
76, 38, 19, . . .
We see the following pattern in the consecutive heights as follows :
Therefore, the height of the basketball in bounce 3 will be half of the height of the basketball in bounce 2.
That is, the height to which basketball bounces on bounce 3 will be
Thus, the required height of the basketball on bounce 3 is 9.5 in.
Answer:
B
Step-by-step explanation:
We want to find the equation of a line with a slope of 3 that includes the point (0, 5).
We can use the slope-intercept form, given by:
Where m is the slope and b is the y-intercept.
Notice that the given point (0, 5) is already the y-intercept. So, b = 5.
By substitution, we acquire:
Hence, our answer is B.