Question

Errol's bike ride from home to school can be modeled by the equation d(t) = -4t+2, where d(t) is

Answer 1

Answer:

Option (2).It has a vertical translation by 2 units in the positive direction.

Step-by-step explanation:

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Errol's bike ride can be modeled by the equation,

$d(t)=-\frac{1}{4}t+2$

Slope of the given equation = $-\frac{1}{4}$ which shows the rate of change of distance from Errol's house

Y-intercept = 2, shows the distance of the school from Errol's house

Let the equation that represents the distance of Daniel's home from the school is,

y = mt + b

Since speed of Daniel is equal to the speed of Errol, slopes of both the equations will be same.

Since y-intercept 'b' represents the distance from his home, b = 4

Now the equation will be,

$d(t)=-\frac{1}{4}t+4$

Therefore, the graph representing the Daniel's equation will have a vertical translation by 2 units in the positive direction.