Question

three - dimensional thinking
analyze the data table below. use the table to answer questions 2 and 3.
green sea turtles distance and time data

time (days)	distance (km)
1	16
2	32
3	48
4	64
5	80
6	96

1. the data in the table above shows how far a sea turtle travels over several days. what would the line on a plot of this data look like?

a the line would curve upward and to the right.
b the line would go up and down.
c the line would point straight upward to the right.
d the line would point upward then downward.

1. if the turtle continued the motion recorded in the data table above, what would his distance be at ten days?

Explanation:

Step1: Identify relationship type

Check distance change per day:
$\Delta d_1 = 16-0=16$, $\Delta d_2=32-16=16$, $\Delta d_3=48-32=16$, etc.

Step2: Answer question 2

Since distance increases by a constant 16 km each day, the relationship is linear, so the plot line is straight upward to the right.

Step3: Find daily distance rate

Daily distance = $\frac{16}{1}=16$ km/day

Step4: Calculate distance at 10 days

Distance = $16 \times 10 = 160$ km

Answer:

1. C The line would point straight upward to the right.
2. 160 km