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A baseball travels \(d\) meters \(t\) seconds after being dropped from the top of a building. The distance traveled by the baseball can be modeled by the equation \(d = 5t^2\).

Complete the table and plot the data on the coordinate plane.

\(t\) (seconds) \(d\) (meters)

0

0.5

1

1.5

2

Blank graph, origin O, with grid. Horizontal axis, time, seconds, scale 0 to 3.5, by 0.5’s. Vertical axis, distance traveled, meters, scale 0 to 30, by 5’s.
Is the baseball traveling at a constant speed? Explain how you know.

Problem 3

A rock is dropped from a bridge over a river. Which table could represent the distance in feet fallen as a function of time in seconds?

Table A

time (seconds)	distance fallen (feet)
0	0
1	48
2	96
3	144

Table B

time (seconds)	distance fallen (feet)
0	0
1	16
2	64
3	144

Table C

time (seconds)	distance fallen (feet)
0	180
1	132
2	84
3	36

Table D

time (seconds)	distance fallen (feet)
0	180
1	164
2	116
3	36

Table A
Table B
Table C
Table D

Problem 8

ForLesson 4: Comparing Quadratic and Exponential Functions

Diego claimed that \(10+x^2\) is always greater than \(2^x\) and used this table as evidence.

Do you agree with Diego? Explain your reasoning.

\(x\)	\(10+x^2\)	\(2^x\)
1	11	2
2	14	4
3	19	8
4	26	16

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Building Quadratic Functions to Describe Situations (Part 1)

Practice

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

\(t\) (seconds)	\(d\) (meters)
0
0.5
1
1.5
2