7)
Answer:
Step-by-step explanation:
a) To determine who lives closest to the school, we would find the distance of each person when the time is zero
For Freddie, the equation representing his distance travelled with respect t time is
y = - 0.8x + 8
where
y represents the distance
x represents the time
When x = 0,
y = - 0.8 * 0 + 8
y = 8
This means that Freddie lives 8 miles from the school
For Christian,
From the table, when x = 0, y = 0.5
This means that Christian lives 0.5 miles from the school
For Trevor,
From the graph, when x = 0, y is 6
This means that Trevor lives 6 miles from the school
Thus,
Christian lives closest to the school
b) To determine who is travelling the fastest, we would calculate the slope of each function.
For Freddie, the equation is
y = - 0.8x + 8
The equation of a line in the slope intercept form is expressed as
y = mx + c
where
m represents slope
By comparing both equations, slope = - 8
This means that Freddie's speed was decreasing by 8 miles per minute
For Christian, we would calculate the slope by applying the formula,
slope = (y2 - y1)/(x2 - x1)
From the table,
x1 = 0, y1 = 0.5
x2 = 2, y2 = 0.4
slope = (0.4 - 0.5)/2 - 0 = - 0.1/2 = - 0.05
This means that Christian's speed was decreasing by 0.05 miles per minute
For Trevor,
From the graph,
when x1 = 0, y1 = 6
when x2 = 3, y2 = 4
slope = (4 - 6)/(3 - 0) = - 2/3 = - 0.67
This means that Trevor's speed was decreasing by 0.67 miles per minute
Thus, person travelling the fastest is