Question

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

function represents the relationship between the distance from the ferry to the dock in miles,
y, and the time that the ferry has been travelling toward the dock in hours, x?
Ferry Traveling to Dock
y
70.1 + 105
-700 + 105
y
35.+ 105
y
353
105
Distance to Dock (miles)
0
1 2 3 4 5 6
Time (hours)

Answer 1

y = -35x + 105

Explanation:

Answer 2

y = -35x + 105

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=(y_(2) -y_(1) )/(x_(2)-x_(1) ) =(0-105)/(3-0)=(-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