Question

A ferry is travelling at a constant speed back to the dock, as shown in the graph. Which

Answer 1

Answer:

y = -35x + 105

Step-by-step explanation:

The given graph represents a function between hours and miles.

To determine the equation that belong to this graph, first we need to find the slope using two points from the graph: (0, 105) and (3, 0).

The definition of slope is

$m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} } =\frac{0-105}{3-0}=\frac{-105}{3}=-35$

Notice that the slope is -35. Remember that the slope is always the coefficient of variable $x$. So, the choice that has this slope is the right answer.

Therefore, the right answer is the last choice: y = -35x + 105