Question

An approximate line linear model is that given to remaining distance in miles a plane must travel from Los Angeles to Paris, if given by s(t)=7800-600t where s(t) is the remaining distance tea hours after the flight begins, find the intercepts on the vertical and horizontal axis

Answer 1

Vertical axis intercept: (0, 7800)

Horizontal axis intercept: (13, 0)

Explanation:

The given linear model is s(t) = 7800 - 600t, where s(t) represents the remaining distance in miles a plane must travel from Los Angeles to Paris, t hours after the flight begins.

To find the intercepts on the vertical and horizontal axes, we need to determine the points where the line intersects these axes.

The vertical axis intercept represents the point where the line crosses the vertical axis (also known as the y-axis) when t = 0. To find this intercept, we substitute t = 0 into the equation:

s(0) = 7800 - 600(0)

s(0) = 7800

Therefore, the vertical axis intercept is (0, 7800).

The horizontal axis intercept represents the point where the line crosses the horizontal axis (also known as the x-axis) when s(t) = 0. To find this intercept, we substitute s(t) = 0 into the equation:

0 = 7800 - 600t

600t = 7800

t = 7800/600

t = 13

Therefore, the horizontal axis intercept is (13, 0).

In summary, the intercepts on the vertical and horizontal axes for the given linear model s(t) = 7800 - 600t are: