Question

Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Which statement is true regarding Antonio and Candice’s race?

Antonio’s Distance Past the Landmark
Time (seconds)
8
12
16
20
24
Distance (meters)
29
41
53
65
77

A graph titled Candice's Distance Past the Landmark has time (seconds) on the x-axis, and Distance (meters) on the y-axis. A line goes through points (5, 22), (10, 42), (15, 62) and (20, 82).

Answer 1

Answer:

Antonio had a head start of 3 meters.

Step-by-step explanation:

I took the test on Edge and got it correct.

(Sorry, this is late and you probably don't need it anymore.)

Answer 2

Antonio had a head start of 3 meters.

We have

Antonio’s Distance Past the Landmark

Time (seconds)      8       12     16      20     24

Distance (meters)   29      41      53    65      77

Change in distance = 12 m

Change in time = 4 seconds

Slope = 12/4 = 3 m/ sec

So, equation of line y = 3x +5

Also a graph titled Candice's Distance Past the Landmark has time (seconds) on the x-axis, and Distance (meters) on the y-axis.

And a line goes through points:

(5, 22), (10, 42), (15, 62) and (20, 82).

Change in distance = 42-20 = 20 m

Change in time = 10-5 = 5 seconds

Slope = 20/5 = 4 m/ sec

So, equation of line y = 4x + 2

Taking the difference

5-2=3

Therefore, Antonio had a head start of 3 meters.

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