Question

A ferry leaves a city and travels to an island.The distance the ferry has left to travel is modeled by the linear equation y=12-0.2x, where y is the distance in miles and x is the time in minutes since the ferry left the city. A. The relationship is non-proportional True or False? B. The slope of the line is 0.2? True or false? C. The island is 12 miles from the city? True or False?

Answer 1

A)the relationship IS proportional, so it's false
B)the slope IS 0.2
C)the island IS 12 miles from the city

Answer 2

A) True.

y=12-0.2x

We can use the property of proportional relationship here that the graph goes through origin.

But here the graph does not go through origin.

So the relationship is non proportional.

B) The general slope intercept form is given by:

`y=mx+b`

Where m is slope.

our given equation is

y=12-0.2x

slope is -0.2

So answer is false.

C) True, the island is 12 miles from the city.